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Keywords = local structural equation modeling

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19 pages, 6203 KB  
Article
Experimental Investigation of the Local Scour Characteristics of Pipelines Crossing Rivers
by Qian Yang and Qinghua Yang
Water 2026, 18(7), 821; https://doi.org/10.3390/w18070821 - 30 Mar 2026
Abstract
Accurate prediction of burial depth and suspended length for oil and gas pipelines crossing rivers is critical for ensuring structural integrity. Systematic flume experiments were employed to examine local scour under varying hydrodynamic conditions, emphasizing relationships between scour hole expansion rate and flow [...] Read more.
Accurate prediction of burial depth and suspended length for oil and gas pipelines crossing rivers is critical for ensuring structural integrity. Systematic flume experiments were employed to examine local scour under varying hydrodynamic conditions, emphasizing relationships between scour hole expansion rate and flow velocity, water depth, and pipe diameter. Bedload transport predominantly governs riverbed evolution and scour hole development. Larger pipe diameters significantly reduce scour hole formation beneath the pipeline. Vertical expansion rate peaks immediately upon initial erosion, then progressively declines due to canalized flow, while cumulative scour depth continues increasing. Vertical dynamics at the pipe bottom conform to a first-order dynamic response equation, yielding a normalized time-dependent scour depth equation. Ultimate scour depth is collectively influenced by hydraulic parameters, pipe diameter, and sediment characteristics. Dimensionless correlations among scour depth, relative sediment size, and Froude number (Fr) were established via Gauss–Seidel iteration. Horizontal expansion exhibits distinct regimes: single-phase dominates at Fr > 0.6, whereas a secondary phase emerges at Fr ≤ 0.6. Integrating experimental data with empirical vertical expansion models, we propose a comprehensive horizontal scour expansion calculation model. These findings provide substantive insights into scour evolution mechanics and directly inform safety assessments for river-crossing pipelines. Full article
(This article belongs to the Section Hydraulics and Hydrodynamics)
21 pages, 680 KB  
Article
An Integrated Optimal Control Model for Simultaneous Tuberculosis Transmission and Stunting Prevention
by Rika Amelia, Nursanti Anggriani and Wan Muhamad Amir W. Ahmad
Mathematics 2026, 14(7), 1140; https://doi.org/10.3390/math14071140 - 28 Mar 2026
Abstract
This study develops an integrated mathematical model to investigate the interaction between tuberculosis (TB) transmission and childhood stunting, which is aligned with the United Nations Sustainable Development Goals (SDG 3). The population is structured into two age groups (0–5 years and ≥5 years), [...] Read more.
This study develops an integrated mathematical model to investigate the interaction between tuberculosis (TB) transmission and childhood stunting, which is aligned with the United Nations Sustainable Development Goals (SDG 3). The population is structured into two age groups (0–5 years and ≥5 years), with stunting explicitly incorporated into the pediatric population to capture its potential influence on TB dynamics. The model is formulated as a system of ordinary differential equations and analyzed using equilibrium and stability analysis, with the basic reproduction number, R0. The disease-free equilibrium is locally asymptotically stable when R0 < 1, while an endemic equilibrium exists when R0 > 1. Sensitivity analysis indicates that the transmission rate (β), progression rate from latent to active infection (σ), and recovery rate (γ) are the most influential parameters affecting R0. These parameters are therefore selected as control variables in an optimal control framework to design effective intervention strategies. Numerical simulations show that the combined control strategy significantly reduces TB transmission, resulting in a reduction of more than 80% in active TB cases within a relatively short intervention period. The results suggest that integrated interventions targeting transmission, disease progression, and recovery are substantially more effective than single-measure strategies. This study provides a quantitative framework to support integrated public health policies addressing TB and childhood stunting simultaneously. Full article
(This article belongs to the Special Issue Mathematical Modelling of Epidemic Dynamics and Control)
20 pages, 1406 KB  
Article
Stability and Period-Doubling Bifurcation of Fractional-Order Commensal Symbiosis Model with Allee Effect
by Mohammed Bakheet Almatrafi
Fractal Fract. 2026, 10(4), 226; https://doi.org/10.3390/fractalfract10040226 - 28 Mar 2026
Viewed by 127
Abstract
Differential equations with fractional order play an important role in modeling some natural phenomena. This paper investigates the dynamics of the fractional-order commensal symbiosis model with the Allee effect. This model describes the relationship between prey and predator populations. The piecewise-constant approximation technique [...] Read more.
Differential equations with fractional order play an important role in modeling some natural phenomena. This paper investigates the dynamics of the fractional-order commensal symbiosis model with the Allee effect. This model describes the relationship between prey and predator populations. The piecewise-constant approximation technique is applied to discretize this model. Equilibrium points are established, and local stability conditions are calculated using fractional-order linearization and eigenvalue-based arguments. Moreover, the bifurcation theory is successfully invoked to discuss the period-doubling bifurcation. In particular, sufficient conditions are effectively determined for the emergence of the period-doubling bifurcation. We utilize the hybrid control approach to control the behavior of the considered system. Then, some numerical examples are presented to demonstrate the accuracy and validity of the theoretical results. The findings indicate that fractional order and Allee effects improve system dynamics and substantially improve stability limits and bifurcation structures, providing new insights into how to handle the dynamics of ecological systems. Full article
(This article belongs to the Section Complexity)
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18 pages, 1685 KB  
Article
Symmetric Element Stiffness and Symplectic Integration for Eringen’s Integral Nonlocal Rods: Static Response and Higher-Order Vibrations
by Zheng Yao, Changliang Zheng and Lulu Wen
Symmetry 2026, 18(4), 571; https://doi.org/10.3390/sym18040571 - 27 Mar 2026
Viewed by 106
Abstract
Integral-form nonlocal elasticity provides a mechanically meaningful approach to describing size effects, yet it leads to Volterra-type integro-differential equations that are difficult to solve analytically and numerically challenging for boundary layers and high-order modes. In this work, we developed a symplectic numerical integration [...] Read more.
Integral-form nonlocal elasticity provides a mechanically meaningful approach to describing size effects, yet it leads to Volterra-type integro-differential equations that are difficult to solve analytically and numerically challenging for boundary layers and high-order modes. In this work, we developed a symplectic numerical integration framework for Eringen’s two-phase (local/nonlocal mixture) integral model by embedding the constitutive operator into a Hamiltonian formulation and discretizing the influence domain in a belt-wise manner. A step-increase strategy was incorporated to allow flexible spatial marching while preserving the geometric (symplectic) structure of the transfer operation. In addition, a symmetry-explicit, element-level stiffness representation was derived for the discretized integral operator; it exposes a mirrored long-range coupling pattern and enables symmetric, energy-consistent assembly. The resulting kernel-agnostic algorithm accommodates both smooth and finite-range kernels. Static benchmarks and longitudinal vibrations are investigated for exponential, Gaussian, and triangular kernels over representative length ratios and mixture parameters. Comparisons with available analytical and asymptotic solutions show good agreement within their validity ranges, and the method yields stable higher-order eigenfrequencies when asymptotic expansions may be unreliable. The current study is limited to a linear one-dimensional rod setting, and validation is restricted to published analytical/asymptotic solutions rather than experimental calibration. Full article
(This article belongs to the Section Engineering and Materials)
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28 pages, 8545 KB  
Article
Study on the Thermal Deformation of Finger Seals Based on Local Thermal Non-Equilibrium in Porous Media
by Juan Wang, Altyib Abdallah Mahmoud Ahmed, Meihong Liu, Shixing Zhu and Tingjun Zhang
Energies 2026, 19(7), 1639; https://doi.org/10.3390/en19071639 - 26 Mar 2026
Viewed by 142
Abstract
Finger seals operate over extended periods under complex conditions involving high-pressure differentials, elevated rotational speeds, and rotor radial runout. Intense convective heat transfer arises within the seal, significantly impacting its structural deformation. To elucidate the influence of temperature on finger-seal deformation during convective [...] Read more.
Finger seals operate over extended periods under complex conditions involving high-pressure differentials, elevated rotational speeds, and rotor radial runout. Intense convective heat transfer arises within the seal, significantly impacting its structural deformation. To elucidate the influence of temperature on finger-seal deformation during convective heat transfer, the present study derives heat transfer energy equations for finger seals based on the Local Thermal Non-Equilibrium (LTNE) model. A three-dimensional porous-media flow-field model incorporating the LTNE framework, along with a solid thermal-deformation model, is developed. The effects of pressure differential and interference-fit magnitude on the structural deformation and average contact pressure of finger seals are analyzed under both the Local Thermal Equilibrium (LTE) and LTNE models. The results indicate that the LTNE model predicts a higher maximum seal temperature and a lower leakage rate compared to the LTE model. In both models, the deformation of individual seal-blade layers increases with rising pressure differentials and interference-fit magnitudes. Furthermore, the overall blade deformation is more pronounced under the LTNE model, suggesting a substantial thermal influence on sealing performance. The effects of pressure difference and interference fit on the thermal deformation of the seal plate are similar: both have the greatest impact on radial deformation, followed by circumferential deformation and axial deformation. Within the pressure difference range, the radial deformation of the third-layer seal plate in the LTNE model increases by 14.55%. When the interference fit increases from 0.05 mm to 0.2 mm, the radial deformation of each layer of the seal plate in the LTNE model increases by 0.18 mm. The average contact pressure increases with both pressure differential and interference-fit magnitude across both models. At a given pressure differential, the LTNE model yields a higher average contact pressure than the LTE model, with a maximum observed difference of 0.01 MPa. When the interference-fit magnitude is small, the pressure difference between the models remains minimal; however, at the maximum interference-fit, the difference reaches 0.08 MPa. Full article
(This article belongs to the Section J: Thermal Management)
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23 pages, 1222 KB  
Article
From Forest Land Easements to Broader Conservation Agreements: An Analysis of Pathways to Community Support in China’s National Park Pilot
by Fangbing Hu, Zhen Sun, Guangyu Wang, Wanting Peng and Chengzhao Wu
Forests 2026, 17(4), 403; https://doi.org/10.3390/f17040403 - 24 Mar 2026
Viewed by 90
Abstract
Conservation easements (CEs) represent a complex policy instrument designed to mediate the feedback loops within coupled human and natural systems in protected areas. However, their efficacy is often constrained by a lack of systemic understanding of the localized drivers of community support. Building [...] Read more.
Conservation easements (CEs) represent a complex policy instrument designed to mediate the feedback loops within coupled human and natural systems in protected areas. However, their efficacy is often constrained by a lack of systemic understanding of the localized drivers of community support. Building upon the successful implementation of Forest Land Easements (FLEs) within China’s Qianjiangyuan National Park Pilot, this study investigates the potential to expand this policy model to other land types. This study investigates the multilevel factors influencing residents’ willingness to adopt three types of CEs, including forest land (FLE), agricultural land (ALE) and homestead land (HLE) easements in China’s Qianjiangyuan National Park Pilot, the country’s primary CE reform site. We conceptualize a hierarchical support model wherein community participation (CP) and human well-being (HW) interact with support for park management (SM), forming a subsystem that drives decisions within the broader land-use. Utilizing structural equation modelling (SEM) and stepwise regression analysis on survey data from 336 households, we tested this model. The results reveal that SM acts as a critical direct mediator and positive driver of CE acceptance, while CP and HW exert significant indirect effects through SM, demonstrating a key feedback pathway. Regression analyses further elucidate that support for different CE types is driven by distinct configurations of factors, highlighting the heterogeneous nature of subsystems. Notably, livelihood benefits and prior participation experiences emerged as consistent, cross-cutting systemic leverages. It demonstrates that leveraging the implementation experience and community support gained from existing forest land easements is crucial. This study concludes that effective CE design must move beyond one-size-fits-all approaches. It necessitates differentiated, adaptive policies that are coherently aligned with local livelihood subsystems and strategically strengthen participatory feedback mechanisms initiated by successful FLEs. Our findings provide an evidence-based framework for designing resilient, socially sustainable conservation policies in complex protected area systems, grounded in proven practice. Full article
(This article belongs to the Special Issue Forestry Economy Sustainability and Ecosystem Governance)
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28 pages, 5247 KB  
Article
Comparative Analysis of High-Fidelity and Reduced-Order Models for Nonlinear Wave–Bathymetry and Wave–Structure Interactions
by Wen-Huai Tsao and Christopher E. Kees
J. Mar. Sci. Eng. 2026, 14(7), 594; https://doi.org/10.3390/jmse14070594 - 24 Mar 2026
Viewed by 129
Abstract
This paper presents a computational study of wave–bathymetry and wave–structure interaction problems using advanced numerical techniques based on high-fidelity, two-phase Navier–Stokes (TpNS) flow and reduced-order, fully nonlinear potential flow models. For high-fidelity simulations, the TpNS equations are discretized using the finite-element method, with [...] Read more.
This paper presents a computational study of wave–bathymetry and wave–structure interaction problems using advanced numerical techniques based on high-fidelity, two-phase Navier–Stokes (TpNS) flow and reduced-order, fully nonlinear potential flow models. For high-fidelity simulations, the TpNS equations are discretized using the finite-element method, with free-surface evolution captured through a hybrid level-set (LS) and volume-of-fluid (VOF) formulation. A monolithic, phase-conservative LS equation is introduced to mitigate mass loss and interface smearing, combined with a semi-implicit projection scheme. Hydrodynamic forces are resolved using a high-order, phase-resolving cut finite-element method (CutFEM), which enables the representation of complex solid geometries within a fixed background mesh. An equivalent polynomial of Heaviside and Dirac distributions ensures accurate evaluation of surface and volume integrals. Hence, no explicit generation of cut cell meshes, adaptive quadrature, or local refinement is required. For reduced-order modeling, a fast regularized boundary integral method (RBIM) is employed to solve the fully nonlinear potential flow. Singular and near-singular integrals are treated using a subtract-and-addition technique based on auxiliary functions derived from Stokes’ theorem, allowing direct application of high-order quadrature without conventional boundary element discretization. An arbitrary Lagrangian–Eulerian (ALE) formulation is adopted to enforce free-surface boundary conditions while avoiding excessive mesh distortion. The proposed approaches are applied to investigate highly nonlinear wave transformation over complex bathymetry and wave-induced dynamics of floating structures, including eddy-making damping effects. Numerical results are validated against experimental measurements. These two modeling approaches represent complementary levels of physical fidelity and computational efficiency, and their systematic comparison clarifies the trade-offs between computational accuracy, efficiency, and cost for practical marine problems. Full article
(This article belongs to the Special Issue Wave–Structure–Seabed Interaction)
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28 pages, 4897 KB  
Article
Flow Unsteadiness Analysis in the High-Altitude Aircraft Dual-Fan System and Geometric Optimization Control Strategies
by Wentao Zhao, Jianxiong Ye, Tingqi Zhao, Lin Li and Gaoan Zheng
Processes 2026, 14(6), 993; https://doi.org/10.3390/pr14060993 - 20 Mar 2026
Viewed by 231
Abstract
When high-altitude aircraft operate in a low-density environment, the flow instability within their internal ducts poses a severe challenge to aerodynamic design and operational safety. Especially in the intake system of the tandem dual-fan configuration, the asymmetric flow caused by rotating machinery coupled [...] Read more.
When high-altitude aircraft operate in a low-density environment, the flow instability within their internal ducts poses a severe challenge to aerodynamic design and operational safety. Especially in the intake system of the tandem dual-fan configuration, the asymmetric flow caused by rotating machinery coupled with the low-density effect exacerbates flow distortion, momentum dissipation, and efficiency loss and may even trigger system instability risks such as rotational stall or surge. To address these challenges, this paper establishes a high-fidelity dynamic model of the internal flow field of the aircraft, based on the Reynolds-averaged Navier–Stokes equations and the SST k-ω turbulence model, combined with dynamic mesh technology. It reveals the unstable mechanism caused by angular momentum accumulation under co-rotation conditions and its intrinsic correlation with the degradation of aerodynamic performance. Inspired by the concept of micro-flow regulation, an active flow control strategy integrating discrete auxiliary injection and local geometric shape optimization is proposed. Numerical results show that by reasonably arranging auxiliary injection holes in the intake duct and optimizing local geometric fillets, the uniformity of intake flow can be effectively improved, and the formation of large-scale vortex structures can be suppressed. This method increases the system’s flow capacity by approximately 47.4%, significantly improves the total pressure recovery coefficient and fan aerodynamic efficiency, and reduces the amplitude of low-frequency pressure fluctuations by approximately 23.1%. Research shows that in high-altitude low-Reynolds-number conditions, micro-flow regulation combined with geometric reconstruction can effectively suppress flow instability induced by rotating machinery. This achievement provides a theoretical basis and feasible engineering path for aerodynamic stability design and optimization of key components, such as the aircraft intake and exhaust systems and thermal management systems, and is of significant value for improving the overall performance and reliability of high-altitude long-endurance aircraft. Full article
(This article belongs to the Section Process Control and Monitoring)
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20 pages, 718 KB  
Article
A Self-Determination Perspective in Healthcare: Leader–Member Exchange and Job Satisfaction in an Italian Sample
by Domenico Sanseverino, Alessandra Sacchi and Chiara Ghislieri
Healthcare 2026, 14(6), 794; https://doi.org/10.3390/healthcare14060794 - 20 Mar 2026
Viewed by 130
Abstract
Background/Objectives: Healthcare professionals operate in complex and demanding environments characterized by high workloads, emotional strain, and organizational pressures that can undermine well-being. According to Self-Determination Theory, the fulfillment of core psychological needs (autonomy, competence, and relatedness) leads to increased job satisfaction, a [...] Read more.
Background/Objectives: Healthcare professionals operate in complex and demanding environments characterized by high workloads, emotional strain, and organizational pressures that can undermine well-being. According to Self-Determination Theory, the fulfillment of core psychological needs (autonomy, competence, and relatedness) leads to increased job satisfaction, a key indicator of occupational well-being. Additionally, leadership plays a central role in shaping needs-fulfilling environments. Drawing on Leader–Member Exchange Theory (LMX), which emphasizes that high-quality leader-follower relationships foster greater discretion, provide learning opportunities, and build constructive team interactions, this study aimed to examine whether supportive leadership is associated with job satisfaction through the mediation of autonomy, team task cohesion, and perceived training opportunities. Methods: Data were collected from a local health authority in Northern Italy through an anonymous online survey, completed by 697 healthcare professionals, including 546 non-medical healthcare staff (primarily nurses) and 151 physicians. Structural equation modeling with a robust maximum likelihood estimator was employed to test the mediation model, including professional role as a covariate. Results: Higher LMX was positively and directly associated with job satisfaction, through the partial mediation of autonomy, team cohesion, and training opportunities, all positively associated with satisfaction. Team task cohesion showed the strongest associations with both LMX and satisfaction. Physicians reported slightly higher levels of autonomy, training opportunities, and job satisfaction than non-medical professionals. Conclusions: The findings suggest that supportive leadership contributes to healthcare professionals’ job satisfaction both directly and indirectly by contributing to core needs fulfillment. Interventions that strengthen relational quality, promote team cohesion, and enhance professional development may help sustain well-being and adaptive functioning in high-demand healthcare environments. Full article
(This article belongs to the Special Issue Job Satisfaction and Mental Health of Workers: Second Edition)
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21 pages, 712 KB  
Article
Spectral Stability of Travelling Waves in a δ-Regularized Dissipative Sine-Gordon Equation
by Vassilios M. Rothos
Symmetry 2026, 18(3), 512; https://doi.org/10.3390/sym18030512 - 17 Mar 2026
Viewed by 108
Abstract
We analyze the spectral stability of travelling waves in a δ-regularized dissipative sine-Gordon equation modelling refined long Josephson junction dynamics. Linearization about a wave yields a singularly perturbed fourth-order spectral problem with intrinsic slow–fast spatial structure. Using an Evans-function formulation on a [...] Read more.
We analyze the spectral stability of travelling waves in a δ-regularized dissipative sine-Gordon equation modelling refined long Josephson junction dynamics. Linearization about a wave yields a singularly perturbed fourth-order spectral problem with intrinsic slow–fast spatial structure. Using an Evans-function formulation on a domain of consistent spatial splitting, we establish a local factorization separating slow and fast modes and prove that the δ-induced fast subsystem remains uniformly hyperbolic and does not generate an additional point spectrum near λ=0. Hence, the local point spectrum coincides with that of the classical dissipative sine-Gordon equation. Numerical computations of the essential spectrum and Evans winding numbers confirm the analysis and show that the higher-order terms enhance high-frequency damping without altering low-frequency spectral stability. Full article
(This article belongs to the Section Mathematics)
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49 pages, 676 KB  
Article
Two-Measure Electroweak Standard Model and Its Realization During Cosmological Evolution
by Alexander B. Kaganovich
Symmetry 2026, 18(3), 508; https://doi.org/10.3390/sym18030508 - 16 Mar 2026
Viewed by 128
Abstract
The possibility of realizing Higgs inflation in a model with a small non-minimal coupling constant, which was demonstrated recently, provides grounds for further development of the model. Incorporating the electroweak SM into the Two-Measure theory (TMT) in a way that fully accounts for [...] Read more.
The possibility of realizing Higgs inflation in a model with a small non-minimal coupling constant, which was demonstrated recently, provides grounds for further development of the model. Incorporating the electroweak SM into the Two-Measure theory (TMT) in a way that fully accounts for the TMT structure leads to a theory we call the Two-Measure Standard Model (TMSM). The TMSM is realized in the context of cosmology as a set of cosmologically modified copies of the Glashow–Weinberg–Salam (GWS) theory, such that each of the copies exists as a local quantum field theory defined on the classical cosmological background at the appropriate stage of its evolution. This basic idea is studied in detail for two stages of the cosmological background evolution: for slow-roll inflation and for the stage of approaching the vacuum. Mainly due to the presence of the ratio of two volume measures in all equations of motion, all TMSM coupling constants turn into a kind of “running” (classical) TMT-effective parameters. During the evolution of the cosmological background, changing these parameters yields new results: (1) the classical “running” TMT-effective Higgs self-coupling parameter increases from λ1011 (which provides Higgs inflation consistent with the Planck CMB data at ξ=16) to λ0.1 at the stage close to the vacuum; (2) the mass term in the TMT-effective Higgs potential changes sign from positive to negative, which provides SSB in the standard way of GWS theory; (3) the classical “running” parameters of the gauge and Yukawa couplings change by several orders of magnitude; (4) the GWS theory is reproduced when the Yukawa constant in the original action is chosen to be universal for three generations of fermions. We show that, due to these classical-level results, taking into account quantum corrections in the one-loop approximation preserves the slow-roll inflation regime and does not violate the vacuum stability during inflation. Full article
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19 pages, 637 KB  
Article
Examining the Relationship Between Organizational Ambidexterity and Firm Performance in New Technology-Based Firms
by Julio César Acosta-Prado, Elías Aburto-Camacllanqui, José Ever Castellanos Narciso and Ricardo Mora Pabón
Systems 2026, 14(3), 309; https://doi.org/10.3390/systems14030309 - 16 Mar 2026
Viewed by 164
Abstract
Organizational ambidexterity is an essential topic in management research. A growing number of studies argue that organizational ambidexterity is increasingly critical to the sustained competitive advantage of firms. However, there is less research on ambidexterity in new technology-based firms, despite the significant impact [...] Read more.
Organizational ambidexterity is an essential topic in management research. A growing number of studies argue that organizational ambidexterity is increasingly critical to the sustained competitive advantage of firms. However, there is less research on ambidexterity in new technology-based firms, despite the significant impact it has on local and national economies. The study examined the relationship between organizational ambidexterity and firm performance (non-economic and economic). The sample consists of 102 Colombian new technology-based firms. A latent variable design or structural equation modeling was followed. The statistical method was Partial Least Squares Structural Equation Modelling (PLS-SEM). According to the results, organizational ambidexterity is positively related to both non-economic and economic performance. Organizational ambidexterity explained 10% of the variance of the economic performance and 56% of the variance of the non-economic performance. These findings highlight the importance of organizational ambidexterity to obtain better firm performance, especially non-economic performance related to customer perception, employee satisfaction, and improvement in the quality of products and services in new technology-based firms. Full article
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20 pages, 849 KB  
Article
Revisiting Value and Satisfaction in Sustainable Homestay Tourism: Evidence from Southwest Nigeria
by Banji Rildwan Olaleye, Ademola Emmanuel Ayodele and Joseph Nembo Lekunze
Tour. Hosp. 2026, 7(3), 79; https://doi.org/10.3390/tourhosp7030079 - 9 Mar 2026
Viewed by 239
Abstract
Homestay tourism is increasingly recognised as a pathway to sustainable tourism development, especially in community-based destinations. This study examines the roles of local community attitudes and environmental sustainability in shaping perceived value and tourist satisfaction within Nigerian homestay tourism. Using a cross-sectional survey [...] Read more.
Homestay tourism is increasingly recognised as a pathway to sustainable tourism development, especially in community-based destinations. This study examines the roles of local community attitudes and environmental sustainability in shaping perceived value and tourist satisfaction within Nigerian homestay tourism. Using a cross-sectional survey design, data were collected from 386 homestay tourists across south-western Nigeria and analysed with Partial Least Squares Structural Equation Modelling (PLS-SEM). The results reveal that local community attitude significantly boosts tourists’ perceived value, while environmental sustainability positively influences both perceived value and tourist satisfaction. However, perceived value does not strongly predict tourist satisfaction, and the moderating effect of community attitude on the relationship between value and satisfaction appears weak. This study contributes to the literature by integrating and extending the Theory of Planned Behaviour (TPB) beyond behavioural intention, demonstrating its relevance to understanding the formation of value–satisfaction in community-based tourism. It also challenges dominant tourism assumptions by showing that perceived value may serve as a supporting rather than primary determinant of satisfaction in rural homestay settings. In practice, the findings suggest that homestay operators and policymakers should focus on environmental sustainability practices and on enhancing experiential service quality, rather than relying solely on value-for-money propositions. By providing context-specific evidence from sub-Saharan Africa, this study advances sustainable tourism scholarship and offers strategic insights for inclusive rural tourism development. Full article
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31 pages, 4300 KB  
Article
Determinants of Wellness Tourism Development in Emerging Hot Spring Destinations: Evidence from Allelobad Hot Spring, Ethiopia Using SEM
by Wondemsew Mesafint Kebadie and Ihtisham Ullah
Tour. Hosp. 2026, 7(3), 75; https://doi.org/10.3390/tourhosp7030075 - 9 Mar 2026
Viewed by 543
Abstract
Wellness tourism represents a significant growth sector within the global tourism industry; however, empirical research examining development determinants in resource-constrained, emerging African destinations remains limited. This study investigates the structural relationships among infrastructure development, community involvement, marketing and promotion, and visitor expectations/service quality [...] Read more.
Wellness tourism represents a significant growth sector within the global tourism industry; however, empirical research examining development determinants in resource-constrained, emerging African destinations remains limited. This study investigates the structural relationships among infrastructure development, community involvement, marketing and promotion, and visitor expectations/service quality in advancing wellness tourism at Allelobad Hot Spring in Ethiopia’s Afar Region. Using a quantitative methodology, structured questionnaires were administered to 210 respondents (visitors, local community members, and tourism stakeholders), resulting in 186 valid responses. Data were analyzed through Confirmatory Factor Analysis (CFA) and Partial Least Squares Structural Equation Modeling (PLS-SEM). Results demonstrate that all four determinants exert statistically significant positive effects on wellness tourism development (p < 0.001), with visitor expectations and service quality emerging as the strongest predictor (β = 0.35), followed by infrastructure development (β = 0.32), marketing and promotion (β = 0.30), and community involvement (β = 0.27). The structural model explains 68% of the variance in wellness tourism development, indicating substantial explanatory power. These findings underscore that sustainable wellness tourism growth in emerging destinations necessitates integrated, multidimensional strategies that simultaneously address physical infrastructure, stakeholder engagement, strategic positioning, and experiential excellence, rather than isolated sector-specific interventions. Full article
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25 pages, 990 KB  
Article
An Adaptive Fitness-Guided Starfish Optimization Framework for Optimal Power Flow Operation
by Sulaiman Z. Almutairi and Abdullah M. Shaheen
Mathematics 2026, 14(5), 909; https://doi.org/10.3390/math14050909 - 7 Mar 2026
Viewed by 280
Abstract
Optimal Power Flow Operation (OPFO) is a large-scale, nonlinear, and highly constrained optimization problem that plays a central role in achieving economical, reliable, and environmentally sustainable power system operation. Despite the widespread use of metaheuristic algorithms for OPFO, many methods primarily depend on [...] Read more.
Optimal Power Flow Operation (OPFO) is a large-scale, nonlinear, and highly constrained optimization problem that plays a central role in achieving economical, reliable, and environmentally sustainable power system operation. Despite the widespread use of metaheuristic algorithms for OPFO, many methods primarily depend on global-best updates or complex hybrid operators, leading to issues like premature convergence and diminished population diversity. Furthermore, recent literature tends to focus on numerical improvements without sufficiently addressing the underlying interaction structures that ensure stability in convergence. To address these limitations, this paper proposes an Improved Starfish Optimization (ISFO) algorithm incorporating a hybrid fitness-aware population-based search mechanism for solving OPFO problems involving the simultaneous regulation of synchronous generator outputs, on-load tap-changing transformer ratios, and reactive power compensation devices. The proposed method introduces an adaptive Fitness-Aware Collective (FAC) interaction strategy that systematically models pairwise fitness relationships to guide attraction toward superior solutions and repulsion from inferior ones, thereby strengthening exploitation while preserving diversity through controlled stochastic peer-based perturbations. A dual-mode search framework further balances global exploration and local intensification without introducing additional control parameters, enhancing robustness and scalability. The OPFO problem is formulated as a constrained nonlinear optimization model, where equality constraints enforce power flow balance equations and inequality constraints represent operational limits of generators, transformers, voltages, and transmission lines. The proposed ISFO is validated on the IEEE 57-bus power system under three operating scenarios: fuel cost minimization, transmission loss minimization, and emission minimization. Comparative results demonstrate consistent superiority over the standard Starfish Optimization Algorithm (SFOA). In cost minimization, ISFO reduces the total generation cost from 41,697.85 $/h to 41,669.34 $/h while simultaneously decreasing real power losses by 5.22%. Under loss minimization, ISFO achieves a minimum transmission loss of 10.77 MW, corresponding to a 9.23% reduction relative to SFOA, with improved convergence stability. For emission minimization, ISFO attains the lowest emission level of 1.474 ton/h, representing a 6.65% reduction compared to SFOA, alongside an additional 5.67% reduction in system losses. Statistical evaluations based on 30 independent runs further confirm the robustness and reliability of the proposed approach, demonstrating reduced variance, narrower confidence intervals, and statistically significant improvements across all investigated objectives. Full article
(This article belongs to the Special Issue Mathematical Methods Applied in Power Systems, 2nd Edition)
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