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25 pages, 2547 KB  
Article
Equilibrium Analysis of an Agricultural Evolutionary Game Under New Quality Productive Forces Policy
by Bingxian Wang, Sunxiang Zhu and Yuanyuan Zhu
Mathematics 2025, 13(22), 3618; https://doi.org/10.3390/math13223618 - 11 Nov 2025
Abstract
New quality agricultural productivity is essential for advancing agricultural modernization, consolidating and expanding achievements in poverty alleviation, and driving rural revitalization. However, leveraging this productivity to facilitate industrial upgrading and support the transition of smallholder farmers remains challenging. This paper constructs a tripartite [...] Read more.
New quality agricultural productivity is essential for advancing agricultural modernization, consolidating and expanding achievements in poverty alleviation, and driving rural revitalization. However, leveraging this productivity to facilitate industrial upgrading and support the transition of smallholder farmers remains challenging. This paper constructs a tripartite evolutionary game model involving the government, agricultural enterprises, and farmers within the policy framework of new quality agricultural productivity. By applying evolutionary game theory, we analyze the strategic interactions among policy implementation, farmer welfare, and the development of new quality agricultural productivity. Equilibrium analysis reveals that the government, as a regulatory actor, should provide appropriate subsidies to agricultural enterprises and farmers, undertake initial infrastructure improvements, diversify subsidy instruments, establish special incentives for agricultural technology innovation, and increase investment in cultivating new agricultural talent. Agricultural enterprises, as dynamic agents, should adopt proactive and systematic transformation strategies. Furthermore, they need to strengthen benefit-linked mechanisms with farmers to ensure sustained collaboration. Full article
(This article belongs to the Section E: Applied Mathematics)
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29 pages, 6138 KB  
Article
Addressing the Collective Action Dilemma in Resident-Led Urban Regeneration: Designing and Verifying a Multi-Dimensional Policy Lever System Through Evolutionary Game Theory
by Zhibiao Chen, Ana Bian and Zhongping Wu
Sustainability 2025, 17(22), 10065; https://doi.org/10.3390/su172210065 - 11 Nov 2025
Abstract
Against the backdrop of urban stock development worldwide, resident-led urban regeneration and in-situ demolition-and-reconstruction models are crucial for advancing sustainable urban regeneration. However, these initiatives often stall due to collective action dilemmas arising from complex interactions among governments, residents, and contractors. To address [...] Read more.
Against the backdrop of urban stock development worldwide, resident-led urban regeneration and in-situ demolition-and-reconstruction models are crucial for advancing sustainable urban regeneration. However, these initiatives often stall due to collective action dilemmas arising from complex interactions among governments, residents, and contractors. To address this, we develop a tripartite evolutionary game model that incorporates a novel multi-dimensional policy lever system. This system integrates the following: (1) resource-allocation levers (area-expansion coefficient, w; expansion benefit-sharing coefficient, v), (2) cost-sharing levers (expansion-purchase coefficient, p; original-area reconstruction payment coefficient, q), and (3) behavioral-intervention levers (cost-burden perception coefficient, e; accident-risk perception coefficient, d), the latter quantifying behavioral economics principles like loss aversion and probability weighting. Through numerical simulations, we identify the nonlinear effects, critical thresholds, and interaction mechanisms of these levers. The results demonstrate that resource-allocation and cost-sharing levers exhibit critical ranges, whereas behavioral-intervention levers are characterized by perception thresholds and saturation effects. Crucially, coordinated optimization of all parameters—rather than one-sided incentives—is essential to steer the system towards the ideal cooperative equilibrium (government guidance, contractor participation, and resident engagement). This study provides a systematic theoretical framework and practical pathway for crafting targeted urban regeneration policies, emphasizing that aligning economic incentives with behavioral interventions can simultaneously enhance compactness, feasibility, and equity, thereby contributing to the achievement of Sustainable Development Goal 11. Full article
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24 pages, 13904 KB  
Article
Evaluation, Coordination Relationship, and Obstacle Factor Analysis of Integrated Urban–Rural Development in Counties of Wuling Mountain Area
by Jiaheng Chen, Jian Yang, Debin Lu, Feifeng Wang, Dongyang Yang and Tingting He
Sustainability 2025, 17(22), 10010; https://doi.org/10.3390/su172210010 - 9 Nov 2025
Viewed by 214
Abstract
Integrated urban–rural development is of great significance in promoting coordinated development in underdeveloped areas across provinces and advancing common prosperity. Previous studies have mostly focused on typical counties in single or developed areas, with insufficient exploration of integrated urban–rural development in underdeveloped areas. [...] Read more.
Integrated urban–rural development is of great significance in promoting coordinated development in underdeveloped areas across provinces and advancing common prosperity. Previous studies have mostly focused on typical counties in single or developed areas, with insufficient exploration of integrated urban–rural development in underdeveloped areas. A total of 71 counties in Wuling Mountain area were taken as the research object, and a conceptual model of “element–structure–function” was constructed based on the theory of the urban–rural integration system. The entropy weight ideal point method, variation coefficient method, coupling coordination model, and obstacle model were employed to analyze the integrated urban–rural development in counties of the Wuling Mountain area during 2010 and 2023 from the five dimensions of population, economy, space, society, and ecology, and to explore their coupling coordination relationship and key obstacle factors. The research results indicate the following: (1) During the study period, the average annual growth rate of integrated urban–rural development was only 1.213%, showing a relatively low level. The spatial evolution exhibited a trend of “overall optimization–gap convergence–multipolar linkage–hot in the south and cold in the north”. (2) The comprehensive coupling coordination increased from 0.6380 in 2010 to 0.7016 in 2023, and the coupling coordination of “population–space” became the dominant mode. Nearly 60% of counties achieved a level upgrade from the transition stage to the coordination stage, and the multidimensional coordination relationship was mainly affected by the dual effects of spatial polarization and ecological constraints. (3) The obstacle of spatial integration ranked first and the mismatch of factors was severe. Land urbanization and population distribution imbalance were key obstacles, and their core contradictions were concentrated in the tripartite dilemma of “extensive land utilization–factor blockage–ecological antagonism”. It is urgent to achieve coordinated and sustainable development of urban and rural integration through market-oriented reforms of two-way factor flow. The conceptual model of “element–structure–function” constructed by the research results can provide a theoretical tool for analyzing the integrated development of urban and rural areas in counties, and can provide decision support for solving the dilemma of element mismatch. Full article
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25 pages, 1290 KB  
Article
Exploring Sustainable Agricultural Supply Chain Financing: Risk Sharing in Three-Party Game Theory
by Xiaoxuan Li, Lijuan Qiao, Tian Zhao and Chunyu Kou
Sustainability 2025, 17(22), 10003; https://doi.org/10.3390/su172210003 - 9 Nov 2025
Viewed by 168
Abstract
Agricultural supply chain finance plays a vital role in alleviating the financing constraints faced by agricultural business entities in developing countries and promoting inclusive and sustainable agricultural development. However, issues such as high operational risks, weak credit foundations, and insufficient risk safeguards among [...] Read more.
Agricultural supply chain finance plays a vital role in alleviating the financing constraints faced by agricultural business entities in developing countries and promoting inclusive and sustainable agricultural development. However, issues such as high operational risks, weak credit foundations, and insufficient risk safeguards among stakeholders in the agricultural supply chain have hindered its long-term stability. From the perspective of cooperative sustainability, this study develops a tripartite evolutionary game model involving agricultural enterprises, financial institutions, and farmers to explore the behavioral dynamics and evolutionary stability of their strategies. Using the Fuping mushroom supply chain as a case, Matlab-based simulation analysis reveals that the three-party strategy combinations failed to converge to an evolutionarily stable strategy (ESS) but instead exhibited dynamic changes characterized by non-periodic oscillations. Sensitivity analysis further demonstrates that farmers’ credit behavior is a key determinant of the sustainable operation of the supply chain financing system, while enhancing enterprises’ guarantee willingness can effectively mitigate farmers’ default risk. Moreover, stronger cooperative relationships between enterprises and farmers improve the overall resilience and stability of the system. The findings provide practical insights for building sustainable and resilient agricultural financial ecosystems, emphasizing the need to introduce third-party guarantee institutions, strengthen credit constraint systems, and design incentive mechanisms that promote long-term cooperation among stakeholders. Full article
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24 pages, 4344 KB  
Article
The Dilemma of Water Audit System for Chinese Enterprises Under Information Asymmetry: A Study Based on a Three-Party Evolutionary Game
by Liyingzi Peng, Wenyue Yu, Kaize Zhang and Ran He
Sustainability 2025, 17(22), 9971; https://doi.org/10.3390/su17229971 - 7 Nov 2025
Viewed by 226
Abstract
The corporate water use audit system is an important part of implementing China’s strictest water resource management system and building a water-saving society. Since 2009, seven provinces (municipalities/autonomous regions) in China have begun to explore corporate water audits. However, conflicts of interest between [...] Read more.
The corporate water use audit system is an important part of implementing China’s strictest water resource management system and building a water-saving society. Since 2009, seven provinces (municipalities/autonomous regions) in China have begun to explore corporate water audits. However, conflicts of interest between the Chinese government, water-using enterprises, and commissioned third-party auditors may lead to the ineffective promotion of the corporate water audit policy. In this paper, we study corporate water auditing behavior from the perspective of information asymmetry, construct an evolutionary game model of the three parties, explore the strategy choices of each party, study the asymptotic stability of the evolutionary stability problem via numerical methods, and analyze the impact of parameter changes on it. The study shows that, firstly, strict governmental supervision plays a key role in promoting the implementation of corporate water audit systems. Incentive subsidies had a positive and direct impact on firms and auditors in the water audit system. Secondly, the higher rent-seeking costs of tripartite audit institutions affect the probability of firms’ participation in rent-seeking. As a social institution, regulation and penalties for firms should be strengthened to reduce the risk of information asymmetry. The results of this study provide insights into the existence of asymmetry problems and possible coping strategies. Full article
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26 pages, 1892 KB  
Article
Policy Synergy for Conflicting Interests in Low-Carbon Innovation: An Evolutionary Game Analysis of Dynamic Incentives and Risk-Sharing in China’s Urban Renewal
by Yang Zhang, Zexiao Lu and Wei Zhang
Sustainability 2025, 17(22), 9924; https://doi.org/10.3390/su17229924 - 7 Nov 2025
Viewed by 268
Abstract
Amidst the challenges posed by global climate change and China’s dual-carbon objectives, the advancement of low-carbon innovative development within urban renewal projects faces obstacles arising from the divergent interests of multiple stakeholders. This research identifies the government, social capital entities, and design research [...] Read more.
Amidst the challenges posed by global climate change and China’s dual-carbon objectives, the advancement of low-carbon innovative development within urban renewal projects faces obstacles arising from the divergent interests of multiple stakeholders. This research identifies the government, social capital entities, and design research institutes as principal stakeholders and develops a tripartite evolutionary game model incorporating sixteen critical variables. The findings indicate that governmental incentive policies facilitate the system’s progression toward a stable equilibrium. Notably, when the intensity of incentives surpasses a specific threshold, a positive feedback mechanism emerges between social capital engagement and design quality. Consequently, the study proposes a collaborative framework characterized by “dynamic incentives, risk sharing, and mutual recognition of standards,” which underscores the co-evolutionary dynamics among system design, technological innovation, and market participation. This framework offers a novel approach to addressing prevalent challenges in urban renewal, including inadequate incentives, elevated risks, and low efficiency in outcome conversion. Full article
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17 pages, 1186 KB  
Article
Facultative Endosymbiont Serratia symbiotica Provides Fitness Benefits for Celery Aphid Semiaphis heraclei Collected from Plant Cnidium monnieri
by Chunyan Chang, Yingshuo Han, Kun Yang, Xin Jiang, Xinrui Zhang, Zhuo Li and Feng Ge
Plants 2025, 14(21), 3391; https://doi.org/10.3390/plants14213391 - 5 Nov 2025
Viewed by 181
Abstract
Semiaphis heraclei Takahashi (Hemiptera: Aphididae) serves as a vital resource for natural enemies from functional plant Cnidium monnieri (L.) Cusson (Apiaceae), playing a crucial role in ecological dynamics. Endosymbionts influence the performance of their hosts. Here, we determined the communities of facultative endosymbionts [...] Read more.
Semiaphis heraclei Takahashi (Hemiptera: Aphididae) serves as a vital resource for natural enemies from functional plant Cnidium monnieri (L.) Cusson (Apiaceae), playing a crucial role in ecological dynamics. Endosymbionts influence the performance of their hosts. Here, we determined the communities of facultative endosymbionts in aphids from Lonicera japonica Thunb. (Caprifoliaceae), Apium graveolens L. (Apiaceae), and C. monnieri and assessed the performance of four aphid clones. The infection rates of Serratia symbiotica Moran (Gammaproteobacteria: Enterobacteriaceae) and Regiella insecticola Moran (Enterobacteriales: Enterobacteriaceae) reached 100%. Notably, the infection rates of Spiroplasma and Rickettsia varied across host plants. Fitness assessment revealed that aphids performed better on their natal hosts, exhibiting shorter nymphal development times and higher fecundity. S. symbiotica had contrasting effects on aphids based on their origin. It prolonged the development duration and decreased the intrinsic rate of increase (rm), net reproductive rate (R0), and finite rate of increase (λ) in aphids collected from plant A. graveolens. However, for aphids collected from plant C. monnieri, it shortened the doubling time (DT) and improved rm, R0, and λ, while prolonging the mean generation time. Our studies are the first to investigate the infection status and role of facultative endosymbionts in aphid S. heraclei, extending the documented effects of plant diversity to fluctuations in the infection rate, with potentially far-reaching consequences for related endosymbionts’ ecosystem processes. Full article
(This article belongs to the Special Issue Functional Plants for Ecological Control of Agricultural Pests)
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48 pages, 2978 KB  
Review
Biological Management of Soil-Borne Pathogens Through Tripartite Rhizosphere Interactions with Plant Growth-Promoting Fungi
by Md. Motaher Hossain, Farjana Sultana, Mahabuba Mostafa, Md. Tanbir Rubayet, Nusrat Jahan Mishu, Imran Khan and Mohammad Golam Mostofa
Appl. Microbiol. 2025, 5(4), 123; https://doi.org/10.3390/applmicrobiol5040123 - 5 Nov 2025
Viewed by 571
Abstract
Soil-borne plant pathogens pose a serious threat to global food security by causing extensive yield losses and compromising crop quality. Conventional chemical-based control methods often prove inadequate, environmentally harmful, and disruptive to beneficial soil microbiota, highlighting the urgent need for sustainable alternatives. Plant [...] Read more.
Soil-borne plant pathogens pose a serious threat to global food security by causing extensive yield losses and compromising crop quality. Conventional chemical-based control methods often prove inadequate, environmentally harmful, and disruptive to beneficial soil microbiota, highlighting the urgent need for sustainable alternatives. Plant growth-promoting fungi (PGPF) have emerged as effective biocontrol agents capable of suppressing diverse soil-borne pathogens while simultaneously enhancing plant growth and resilience. This review synthesizes current knowledge on the tripartite interactions among plants, pathogens, and PGPF within the rhizosphere, with emphasis on their roles in disease suppression, rhizosphere competence, and plant health promotion. The findings highlight that PGPF such as Trichoderma, Penicillium, Aspergillus, non-pathogenic Fusarium, hypovirulent binucleate Rhizoctonia and sterile fungi can significantly reduce diseases caused by fungi, oomycetes, bacteria, nematodes, and protists through mechanisms including antibiosis, hyperparasitism, competition, and induction of systemic resistance. Evidence also indicates that consortium approaches and bioformulations enhance field efficacy compared to single-strain applications. Despite this progress, challenges such as variability in field performance, limited shelf life of inoculants, and gaps in understanding ecological interactions constrain large-scale use. Overall, the review underscores that PGPF-based strategies represent a promising and sustainable alternative to chemical pesticides, with strong potential for integration into holistic crop disease management under changing climatic conditions. Full article
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24 pages, 8306 KB  
Article
An Evolutionary Game Perspective for Promoting Utilization of Crop Straw as Energy: A Case Study in Guangdong
by Yuexiang Yang, Leixin Zhang, Jiale Ren, Wen Wang and Xudong Sun
Sustainability 2025, 17(21), 9800; https://doi.org/10.3390/su17219800 - 3 Nov 2025
Viewed by 176
Abstract
The industrialization of using crop straw as energy is currently hindered by systemic bottlenecks, including high collection and storage costs, a poorly coordinated industrial chain, and underdeveloped market mechanism. This study takes Guangdong province as a case study to construct a tripartite evolutionary [...] Read more.
The industrialization of using crop straw as energy is currently hindered by systemic bottlenecks, including high collection and storage costs, a poorly coordinated industrial chain, and underdeveloped market mechanism. This study takes Guangdong province as a case study to construct a tripartite evolutionary game model on the transition of straw to energy among the government, enterprises, and farmers. Different from previous studies that focused on the strategy of penalizing the open burning of straw by farmers, this work investigated the cooperation of farmers for straw removal from field, the operational strategies of enterprises for straw utilization as energy, and the selection of government-guided incentive policies. It analyzes the behavioral evolution of these stakeholders under various incentive policies and cooperative scenarios. Numerical simulations were performed to identify the system’s evolutionary stable strategies and assess the potential of expanding straw for energy utilization. It indicated that mild government intervention could lead to a stable equilibrium through facilitating the removal of straw from fields and the utilization of straw as energy by enterprises. Farmers were sensitive to the fluctuation of acquisition price, and their willingness to cooperate would be negatively impacted by a large-scale price reduction. Enterprise expansion was exposed to significant risk under intensive policy intervention. The feasible pathway to increase the proportion of straw utilization as energy in Guangdong began at a small scale. Under mild incentive policies, a scenario targeting a 20% increase was more likely to achieve a market equilibrium for large-scale production than that targeting a 55% increase. The government should draw up positive incentive policies to promote the utilization of straw as energy. By guiding farmers in straw removal from the field and improving the energy enterprises’ competitiveness, the government should curb irrational industry expansion and corporate speculation, and shift from investment support to incentive policies. Meanwhile, the ecological construction of industry and supply chains should be enhanced, and the scale should be used to reduce the high supply-side costs of the straw. It would overcome the central barrier to the commercialization of straw utilization as energy. This work sets an example for conducting dynamic analysis of multi-stakeholder interactions for straw utilization. Full article
(This article belongs to the Special Issue Sustainable Biomass Utilization for Renewable Energy)
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25 pages, 3028 KB  
Article
AI-Assisted Regional Collaborative Game of an Emergency Supplies Reserve Supply Chain
by Jinhua Zhou, Yanan Feng and Guangxin Cao
Systems 2025, 13(11), 977; https://doi.org/10.3390/systems13110977 - 2 Nov 2025
Viewed by 353
Abstract
This study is devoted to the analysis of regional collaboration in emergency supply chain reserves. To address this critical research issue, we have developed an AI-assisted tripartite evolutionary game model involving governments, manufacturers, and suppliers across different regions under demand uncertainties and resource [...] Read more.
This study is devoted to the analysis of regional collaboration in emergency supply chain reserves. To address this critical research issue, we have developed an AI-assisted tripartite evolutionary game model involving governments, manufacturers, and suppliers across different regions under demand uncertainties and resource disparities. In this study, we employ replicator dynamic equations to derive strategic evolution paths and utilize numerical simulations enhanced by AI-powered global sensitivity analysis for subsequent parameter sensitivity analysis, enabling a systematic examination of equilibrium conditions and stability strategies. Our research findings demonstrate that when government incentive mechanisms provide greater benefits than speculative gains then supply chain enterprises evolve toward collaborative strategies, with the system achieving optimal stability at the equilibrium where collaboration benefits outweigh costs. Our AI-enhanced analysis results also reveal that while higher subsidies accelerate enterprise participation, they may reduce government motivation, necessitating carefully balanced penalty scales to sustain long-term cooperation—findings validated through sensitivity analyses of key parameters. The study’s integration of game theory with AI techniques offers both theoretical innovation in multi-agent decision modeling and practical value for strengthening national emergency management frameworks. Full article
(This article belongs to the Topic Digital Technologies in Supply Chain Risk Management)
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29 pages, 11221 KB  
Article
A Spatio-Temporal Overlap Narrative Experience Model for Archaeological Site Museums: A Case Study of the Panlongcheng Archaeological Site Museum
by Qi Hu, Xiao He, Tianyu Wei and Yi Yuan
Buildings 2025, 15(21), 3956; https://doi.org/10.3390/buildings15213956 - 2 Nov 2025
Viewed by 959
Abstract
In the global trend of museums transitioning from static displays to digital, narrative, and experiential forms, heritage museums face challenges such as weakened cultural identity, insufficient emotional resonance, and the separation of reality and fiction. To address these issues, this study, based on [...] Read more.
In the global trend of museums transitioning from static displays to digital, narrative, and experiential forms, heritage museums face challenges such as weakened cultural identity, insufficient emotional resonance, and the separation of reality and fiction. To address these issues, this study, based on the theory of spatial narrative, introduces the tripartite theory of spatial production to jointly construct a narrative experience model with overlapping time and space. By expanding the dimensions of time and space, it achieves a deep correspondence of virtual experiences, providing guidance for the virtual-real integration experience design of heritage museums. Methodologically, a combined approach of FAHP1-spatial syntax-FAHP2-FCE is adopted. Taking the Panlongcheng Heritage Museum as an example, with user experience needs as the starting point and the analysis results of the physical exhibition space as the basis, the heritage culture theme serves as the narrative thread, integrating into an experiential model with contextual virtual-real fusion. Finally, the design practice is verified through FCE. The results show that this model can optimize the virtual-real integration experience, enhance users’ cultural identity and emotional resonance, and provide beneficial insights for the digital and experiential transformation of heritage museums. Full article
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19 pages, 2835 KB  
Article
Description and Phylogenetic Analysis of Two New Species, Trissonchulus sinensis sp. nov. and Metachromadora sinica sp. nov. (Nematoda) from the South China Sea
by Jing Sun, Ruobing Bai and Yong Huang
J. Mar. Sci. Eng. 2025, 13(11), 2085; https://doi.org/10.3390/jmse13112085 - 1 Nov 2025
Viewed by 260
Abstract
Two new species of free-living marine nematodes from mangrove wetlands of Beihai, Guangxi province in China, are described and illustrated. Trissonchulus sinensis sp. nov. is characterized by a head continuous with the body, an amphidial fovea pouch-shaped, pharynx expanding gradually but not forming [...] Read more.
Two new species of free-living marine nematodes from mangrove wetlands of Beihai, Guangxi province in China, are described and illustrated. Trissonchulus sinensis sp. nov. is characterized by a head continuous with the body, an amphidial fovea pouch-shaped, pharynx expanding gradually but not forming a posterior bulb, spicules sclerotized, blade-shaped, slightly curved ventrally, proximal part enlarged with a prominent central septum, posterior part slender and handle-like; gubernaculum small, composed of two distally connected sheet-like structures with tooth-like ends, and lacking apophysis. Metachromadora sinica sp. nov. is characterized by a cuticle that is finely annulated, labial sensilla papilliform, cephalic setae four in number, amphideal fovea loop-shaped, exhibiting a double-contoured appearance, pharyngeal bulb well-developed, internal cuticular lumen tripartite, lateral epidermal ridges present, spicules slender with an enlarged capitulum, gubernaculum boat-shaped, precloacal supplements absent, tail conical with two setose protuberances, three pairs of subventral preanal setae, and a pair of papillae situated anterior to the anus. Nearly full-length SSU sequences and D2-D3 of LSU sequences are provided for the new species. Phylogenetic analysis of SSU provided support for the current classification status of the two new species. In the SSU phylogenetic tree, the family Ironidae was recovered as a separate monophyletic clade. However, the phylogenetic relationships within the family Desmodoridae were complicated, and the subfamilies Desmodorinae and Spiriniinae were polyphyletic. A comprehensive taxonomic approach combining morphological observations and molecular phylogeny construction would be particularly valuable in a more robust nematode taxonomy. Full article
(This article belongs to the Section Marine Biology)
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22 pages, 10210 KB  
Article
A Three-Party Evolutionary Game Model and Stability Analysis for Network Defense Strategy Selection
by Zhenghao Qian, Fengzheng Liu, Mingdong He, Bo Li, Xuewu Li, Chuangye Zhao, Gehua Fu and Yifan Hu
Future Internet 2025, 17(11), 499; https://doi.org/10.3390/fi17110499 - 31 Oct 2025
Viewed by 190
Abstract
Traditional cyber attack-defense strategies have traditionally focused solely on the attacker and defender, while neglecting the role of government-led system administrators. To address strategic selection challenges in cyber warfare, this study employs an evolutionary game theory framework to construct a tripartite game model [...] Read more.
Traditional cyber attack-defense strategies have traditionally focused solely on the attacker and defender, while neglecting the role of government-led system administrators. To address strategic selection challenges in cyber warfare, this study employs an evolutionary game theory framework to construct a tripartite game model involving cyber attackers, defenders, and system administrators. The replicator dynamic equation is utilized for stability analysis of behavioral strategies across stakeholders, with Lyapunov theory applied to evaluate the equilibrium points of pure strategies within the system. MATLAB (2021a) simulations were conducted to validate theoretical findings. Experimental results demonstrate that the model achieves evolutionary stability under various scenarios, yielding optimal defense strategies that provide theoretical support for addressing cybersecurity challenges. Full article
(This article belongs to the Special Issue DDoS Attack Detection for Cyber–Physical Systems)
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29 pages, 7081 KB  
Article
Q-Learning for Online PID Controller Tuning in Continuous Dynamic Systems: An Interpretable Framework for Exploring Multi-Agent Systems
by Davor Ibarra-Pérez, Sergio García-Nieto and Javier Sanchis Saez
Mathematics 2025, 13(21), 3461; https://doi.org/10.3390/math13213461 - 30 Oct 2025
Viewed by 312
Abstract
This study proposes a discrete multi-agent Q-learning framework for the online tuning of PID controllers in continuous dynamic systems with limited observability. The approach treats the adjustment of each PID gain (kp, ki, kd) as an [...] Read more.
This study proposes a discrete multi-agent Q-learning framework for the online tuning of PID controllers in continuous dynamic systems with limited observability. The approach treats the adjustment of each PID gain (kp, ki, kd) as an independent learning process, in which each agent operates within a discrete state space corresponding to its own gain and selects actions from a tripartite space (decrease, maintain, or increase its gain). The agents act simultaneously under fixed decision intervals, favoring their convergence by preserving quasi-stationary conditions of the perceived environment, while a shared cumulative global reward, composed of system parameters, time and control action penalties, and stability incentives, guides coordinated exploration toward control objectives. Implemented in Python, the framework was validated in two nonlinear control problems: a water-tank and inverted pendulum (cart-pole) systems. The agents achieved their initial convergence after approximately 300 and 500 episodes, respectively, with overall success rates of 49.6% and 46.2% in 5000 training episodes. The learning process exhibited sustained convergence toward effective PID configurations capable of stabilizing both systems without explicit dynamic models. These findings confirm the feasibility of the proposed low-complexity discrete reinforcement learning approach for online adaptive PID tuning, achieving interpretable and reproducible control policies and providing a new basis for future hybrid schemes that unite classical control theory and reinforcement learning agents. Full article
(This article belongs to the Special Issue AI, Machine Learning and Optimization)
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28 pages, 5015 KB  
Article
Population Shrinkage, Aging, and Industrial Brownfield Regeneration Potential Assessment: An Empirical Study of a “Rust Belt City” in Northeast China
by Ling Yang, Xinyi Zhao, Yuanjing Zhang, Yangfei Huang, Yawen Han and He Ma
Buildings 2025, 15(21), 3917; https://doi.org/10.3390/buildings15213917 - 30 Oct 2025
Viewed by 416
Abstract
Currently, many industrial cities in Northeast China are grappling with a surge in brownfields, population loss, and environmental degradation, largely driven by industrial decline. Consequently, brownfield regeneration has emerged as a critical pathway for exploring sustainable development in shrinking cities. This study investigates [...] Read more.
Currently, many industrial cities in Northeast China are grappling with a surge in brownfields, population loss, and environmental degradation, largely driven by industrial decline. Consequently, brownfield regeneration has emerged as a critical pathway for exploring sustainable development in shrinking cities. This study investigates the regeneration potential of urban brownfields against the backdrop of population shrinkage and aging. Under the framework of Ecosystem Service Theory, this study adopts the Fulaerji District of Qiqihar City as a representative case, integrating its four key categories of ecosystem services into a three-dimensional “economic–social–environmental” evaluation framework. This approach facilitates the transformation of Ecosystem Service Theory from a conventional post-regeneration evaluation tool into a pre-regeneration framework for assessing potential and determining site prioritization. A tripartite evaluation system was constructed, integrating economic vitality (e.g., the population shrinkage index, the proportion of the elderly population, and transportation accessibility), social culture (e.g., the industrial heritage proximity index), and ecological regulation functions (e.g., proximity of green spaces and importance of ecosystem services). Leveraging multi-source geospatial data, land surveys, and field inspections, 12 candidate brownfield sites were identified. GIS spatial analysis and the Analytic Hierarchy Process (AHP) were employed to decipher their spatial distribution patterns and comprehensive potential grades. The findings reveal the following: (1) The evaluation results exhibit distinct spatial characteristics: high-potential sites, clustered near transport hubs and policy-supported zones, demonstrate multi-dimensional advantages, while low-potential sites, constrained by aging demographics, poor accessibility, and ecological vulnerability, are predominantly located on the urban periphery. (2) Correlation analysis between potential grades and various evaluation indicators, combined with a cross-comparison of population shrinkage levels and average values of other evaluation indicators across different potential grades, reveals that neither the population shrinkage index nor the elderly population proportion exerts a systematic negative impact on industrial brownfield regeneration potential. This finding indicates that within specific urban development contexts, brownfield regeneration potential is influenced more by structural factors such as locational conditions, policy support, and ecological service functions than by singular demographic trends. This research provides both theoretical foundation and decision-making support for differentiated brownfield regeneration and spatial governance in population-shrinking cities. Full article
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