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Mathematics, Volume 13, Issue 21

2025 November-1 - 214 articles

Cover Story: We introduce the Spatial Regime Conversion Method (SRCM), a novel hybrid framework for simulating reaction–diffusion systems that adaptively switches between stochastic and deterministic representations based on local concentrations. By combining discrete reaction-diffusion master equation dynamics with continuum partial differential equations, the SRCM avoids fixed spatial interfaces and captures essential stochastic features where needed, while maintaining computational efficiency. Validated across multiple test cases—including diffusion, morphogen gradient formation, and travelling waves—the SRCM offers a powerful and flexible tool for modelling spatially heterogeneous systems. View this paper
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Articles (214)

  • Feature Paper
  • Article
  • Open Access
4 Citations
1,677 Views
41 Pages

6 November 2025

Since the early twentieth century, quantum mechanics has sought an interpretation that offers a consistent worldview. In the course of that, many proposals were advanced, but all of them introduce, at some point, interpretation elements (semantics) t...

(This article belongs to the Special Issue Advances in Mathematics for Quantum Mechanics)
  • Article
  • Open Access
1,000 Views
20 Pages

Tri-Invariance Contrastive Framework for Robust Unsupervised Person Re-Identification

  • Lei Wang,
  • Chengang Liu,
  • Xiaoxiao Wang,
  • Weidong Gao,
  • Xuejian Ge and
  • Shunjie Zhu

6 November 2025

Unsupervised person re-identification (Re-ID) has been proven very effective and it boosts the performance in learning representations from unlabeled data in the dataset. Most current methods have good accuracy, but there are two main problems. First...

(This article belongs to the Special Issue Mathematical Computation for Pattern Recognition and Computer Vision)
  • Article
  • Open Access
1 Citations
849 Views
19 Pages

6 November 2025

The pervasive spread of Android malware poses significant threats to users and systems worldwide. In most existing studies, differences in feature importance are often overlooked, and the calculation of feature weights is conducted independently of t...

(This article belongs to the Special Issue Securing Software Through Mathematics and Domain-Specific Knowledge: Innovations and Applications)
  • Article
  • Open Access
1,231 Views
28 Pages

Hydrodynamic Performance Analysis of an MR Damper in Valve Mode Characterized by the Mason Number

  • Juan P. Escandón,
  • Juan R. Gómez,
  • René O. Vargas,
  • Edson M. Jimenez and
  • Rubén Mil-Martínez

6 November 2025

This work analyzes the hydrodynamic behavior of a magnetorheological valve, considering the microscopic fluid characteristics to generate a damper force. The magnetorheological fluid is composed of ferromagnetic particles dispersed in a non-magnetic...

(This article belongs to the Section E4: Mathematical Physics)
  • Article
  • Open Access
1 Citations
992 Views
25 Pages

Compactness of the Complex Green Operator on C1 Pseudoconvex Boundaries in Stein Manifolds

  • Abdullah Alahmari,
  • Emad Solouma,
  • Marin Marin,
  • A. F. Aljohani and
  • Sayed Saber

6 November 2025

We study compactness for the complex Green operator Gq associated with the Kohn Laplacian □b on boundaries of pseudoconvex domains in Stein manifolds. Let Ω⋐X be a bounded pseudoconvex domain in a Stein manifold X of complex dimensi...

(This article belongs to the Special Issue Recent Developments in Theoretical and Applied Mathematics)
  • Article
  • Open Access
711 Views
18 Pages

6 November 2025

The characterization of SEP elements is a classical problem in generalized inverse theory. Most existing characterizations are formulated in terms of specific algebraic identities. This paper proposes a new approach based on polynomial equations with...

(This article belongs to the Special Issue Recent Advances in Generalized Inverses and Matrix Theory)
  • Article
  • Open Access
872 Views
23 Pages

6 November 2025

In this study, we analyze a multi-species mutualistic Lotka–Volterra model with Lévy jumps and regime-switching. A defining feature of the work lies in modeling the random environment through state-dependent switching in an infinite coun...

  • Article
  • Open Access
1 Citations
818 Views
26 Pages

6 November 2025

Wirelessly charging unmanned aerial vehicles (WCUAVs) can complete charging tasks without human intervention and may help us efficiently collect various types of geographically dispersed data in unmanned data collection systems (UDCSs). However, the...

  • Article
  • Open Access
4 Citations
835 Views
12 Pages

6 November 2025

In this paper, by introducing a general homogeneous kernel function and several parameters, we establish a new Hardy–Hilbert-type integral inequality involving two derivative functions of higher-order. For the resulting inequality, we determine...

(This article belongs to the Section C3: Real Analysis)
  • Article
  • Open Access
2 Citations
810 Views
15 Pages

6 November 2025

In this paper, we introduce and investigate new subclasses of analytic bi-univalent functions defined via Caputo fractional derivatives with boundary rotation constraints. Utilizing the generalized operator Cȷϱ, which encompasses and exten...

(This article belongs to the Special Issue Advances in Nonlinear Differential Equations with Applications)
  • Article
  • Open Access
677 Views
15 Pages

6 November 2025

Multiple regression analysis has a wide range of applications. The analysis of error structures in regression model Y=ΓX+Z has also attracted much attention. This paper focuses on large-scale precision matrix of the error vector that only has l...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
5 Citations
1,259 Views
20 Pages

A New 5D Chaotic Supply Chain System with Transport Lag: Modeling, Bifurcation Analysis, Offset Boosting Control and Synchronization

  • Muhamad Deni Johansyah,
  • Khaled Benkouider,
  • Sundarapandian Vaidyanathan,
  • Aceng Sambas and
  • Chittineni Aruna

6 November 2025

This paper introduces an enhanced five-dimensional Chaotic Supply Chain Model (5DCSCM) by incorporating a transport lag variable into a previously established four-dimensional model. The newly added differential equation in the transit dynamics of th...

(This article belongs to the Special Issue Advanced Computational Modeling and Optimization in Operations Research and Supply Chain Management)
  • Article
  • Open Access
3 Citations
1,256 Views
34 Pages

6 November 2025

This paper analyzes a finite-capacity GI/M/2/N queue with two heterogeneous servers operating under a multiple working-vacation policy, Bernoulli feedback, and customer impatience. Using the supplementary-variable technique in tandem with a tailored...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
2 Citations
752 Views
18 Pages

6 November 2025

This study proposes an adaptive broad learning strategy for a two-degree-of-freedom helicopter system based on specified performance and dynamic event-triggered. First, broad learning is employed to approximate system uncertainties. Compared to radia...

(This article belongs to the Special Issue Deep Learning and Adaptive Control, 3rd Edition)
  • Article
  • Open Access
2 Citations
1,113 Views
34 Pages

6 November 2025

The crisis of research integrity triggered by academic misconduct, such as scientific fraud and paper retractions, has emerged as a critical issue demanding urgent resolution within the academic community. Blockchain (BC), with its core features of d...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
1 Citations
1,850 Views
20 Pages

6 November 2025

This study examines the exposure of the U.S. insurance sector to climate-related risks using a two-step approach combining factor modeling and Extreme Value Theory. The analysis first constructs a climate risk factor from transition-sensitive sectors...

(This article belongs to the Special Issue New Advances in Mathematical Economics and Financial Modelling)
  • Feature Paper
  • Article
  • Open Access
1 Citations
1,732 Views
19 Pages

6 November 2025

This paper analyzes a finite-capacity Markovian queueing system with two customer types, each assigned to a separate buffer, and a single alternating server whose service priority is dynamically controlled by a queue-length-based threshold policy. Th...

(This article belongs to the Special Issue Advances in Queueing Theory and Applications)
  • Feature Paper
  • Article
  • Open Access
1 Citations
3,131 Views
19 Pages

5 November 2025

We construct a family of self-adjoint operators on the prime numbers whose entries depend on pairwise arithmetic divergences, replacing geometric distance with number-theoretic dissimilarity. The resulting spectra encode how coherence propagates thro...

(This article belongs to the Section E4: Mathematical Physics)
  • Article
  • Open Access
1,166 Views
57 Pages

5 November 2025

Coordination algorithms are required to minimise congestion when every robot in a robotic swarm has a common target area to visit. Some of these algorithms use artificial potential fields to enable path planning to become distributed and local. An ef...

(This article belongs to the Special Issue Advances in Intelligent Control Theory and Robotics)
  • Article
  • Open Access
1 Citations
1,223 Views
23 Pages

5 November 2025

Urban infrastructure planning is central to advancing sustainable cities, but project success increasingly depends on public acceptance as well as technical, economic, and environmental performance. This study develops a fuzzy–grey multi-criter...

(This article belongs to the Special Issue Applications of Operations Research and Decision Making)
  • Article
  • Open Access
1 Citations
2,462 Views
23 Pages

A Data-Driven Framework for Flight Delay Propagation Forecasting During Extreme Weather

  • Jiuxia Guo,
  • Jingyuan Li,
  • Jiang Yuan,
  • Yungui Yang and
  • Zihao Ren

5 November 2025

Flight delays during extreme weather events exhibit spatio-temporal propagation and cascading effects, posing serious challenges to the resilience of aviation systems. Existing prediction approaches often neglect dynamic dependencies across flight ch...

(This article belongs to the Special Issue Optimization and Machine Learning-Based Methods in Air Traffic Management and Aeronautical Domains)
  • Article
  • Open Access
714 Views
12 Pages

5 November 2025

This study examines the stability and instability of a Casson fluid in a horizontal porous medium with magnetic effect using linear and global theories. Both linear and nonlinear analyses are conducted using the normal modes. The study proves that th...

(This article belongs to the Special Issue Advances and Applications in Computational Fluid Dynamics)
  • Feature Paper
  • Article
  • Open Access
1 Citations
762 Views
13 Pages

5 November 2025

The method of particular solutions (MPS) has been widely applied for solving various types of partial differential equations. In this paper, the space–time collocation technique is implemented using MPS with polynomial basis functions (MPS-PBF)...

  • Article
  • Open Access
1,426 Views
26 Pages

Expanding the Scope: Modified Fortescue Theory for Frequency Unbalance Resolution in Control Strategies

  • Karim Mansouri,
  • Brahim Metoui,
  • Cristian Nichita,
  • Amr Yousef and
  • Ezzeddine Touti

5 November 2025

To analyze unbalanced electrical systems, the mathematical technique “symmetrical components method” developed by Charles LeGeyt Fortescue in the early 20th century has been very successful in this field. By decomposing three-phase system...

(This article belongs to the Special Issue Advanced Mathematical Approaches to Engineering and Computational Problems, 2nd Edition)
  • Article
  • Open Access
2,150 Views
31 Pages

A Case Study of a Transportation Company Modeled as a Scheduling Problem

  • Cristina Tobar-Fernández,
  • Ana Dolores López-Sánchez and
  • Jesús Sánchez-Oro

5 November 2025

This case study tackles a real-world problem of a transportation company that is modeled as a scheduling optimization problem. The main goal of the considered problem is to schedule the maximum number of jobs that must be performed by vehicles over a...

(This article belongs to the Special Issue Advancements in Applied Mathematics for Economic Data Analytics: Models, Methods, and Applications)
  • Article
  • Open Access
10 Citations
1,432 Views
25 Pages

5 November 2025

While recent advances have successfully integrated neural networks with physical models to derive numerical solutions, there remains a compelling need to obtain exact analytical solutions. The ability to extract closed-form expressions from these mod...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
1 Citations
1,535 Views
29 Pages

5 November 2025

This paper presents a detailed performance evaluation of a proposed Orthogonal Time Frequency Space (OTFS) system for Integrated Sensing and Communications (ISAC) in doubly dispersive wireless channels, characterized by both delay and Doppler spreads...

(This article belongs to the Special Issue Computational Methods in Wireless Communication)
  • Feature Paper
  • Article
  • Open Access
2 Citations
814 Views
12 Pages

5 November 2025

This paper addresses the problem where optimizing a single production shop within a production chain may not improve the overall performance of the entire chain. To overcome this and synchronize the efficiency of each shop, methods are proposed to al...

(This article belongs to the Special Issue Data-Driven Algorithms for Optimal Decision Making in Logistics and Supply Chain Management)
  • Article
  • Open Access
4 Citations
1,150 Views
22 Pages

5 November 2025

Unmanned aerial vehicles (UAVs) are a promising technology for future sixth-generation (6G) wireless networks. They are airborne vehicles that act either as as flying relays or base stations (BS) to provide the line-of-sight (LOS) transmission, enabl...

(This article belongs to the Special Issue Computational Methods in Wireless Communication)
  • Article
  • Open Access
927 Views
22 Pages

4 November 2025

Combination drug treatment plays a central role in addressing complex diseases by enhancing the therapeutic benefit while mitigating adverse effects. However, determining optimal dose levels remains challenging due to additive drug effects, competing...

(This article belongs to the Section D: Statistics and Operational Research)
  • Article
  • Open Access
2 Citations
947 Views
17 Pages

4 November 2025

Coal block image segmentation is of great significance for obtaining the particle size distribution and specific gravity information of ores. However, the existing methods are limited by harsh environments, such as dust, complex shapes, and the uneve...

(This article belongs to the Special Issue Mathematical Methods for Image Processing and Computer Vision)
  • Article
  • Open Access
1 Citations
811 Views
15 Pages

4 November 2025

In this paper, we study a cognitive relay Internet of Things (IoT) network aided by an unmanned aerial vehicle (UAV) equipped with multiple antennas. The UAV performs relaying for secondary communication under stringent interference constraints impos...

(This article belongs to the Special Issue Computational Methods in Wireless Communication)
  • Article
  • Open Access
1 Citations
922 Views
33 Pages

4 November 2025

Hedge algebra is a powerful and flexible tool for handling linguistic information, enabling precise quantitative computations and enhancing the effectiveness of multi-criteria decision-making (MCDM). This study proposes a novel integrated fuzzy MCDM...

(This article belongs to the Special Issue Application of Multiple Criteria Decision Analysis)
  • Article
  • Open Access
1,484 Views
17 Pages

Mono-ViM: A Self-Supervised Mamba Framework for Monocular Depth Estimation in Endoscopic Scenes

  • Shengli Chen,
  • Yuming Chen,
  • Xiaoang Xu,
  • Jiahao Li,
  • Ke Ye and
  • Tianzuo Chang

4 November 2025

Self-supervised depth estimation methods enable the recovery of scene depth information from monocular endoscopic images, thereby assisting endoscopic navigation. However, existing monocular endoscopic depth estimation methods generally fail to captu...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
1,060 Views
9 Pages

Diffusion in Heterogeneous Media with Stochastic Resetting and Pauses

  • Ervin K. Lenzi,
  • Luciano R. da Silva and
  • Marcelo K. Lenzi

4 November 2025

Diffusion in heterogeneous environments is usually governed by unusual dynamics, exhibiting sub- or superdiffusive scaling depending on the structural complexity and memory effects. In many systems, diffusing particles may alternate between periods o...

  • Article
  • Open Access
4 Citations
1,372 Views
24 Pages

Fuzzy MCDM Methodology Application in Analysis of Annual Operational Efficiency in Passenger and Freight Air Transport

  • Nikola Petrović,
  • Dragan Marinković,
  • Nikola Komatina,
  • Marija Runić-Ristić,
  • Tahir Masood Qureshi and
  • Aleksandar Aleksić

4 November 2025

The airline industry plays a vital role in global mobility and international trade, which makes the evaluation of its operational efficiency an important strategic task. This study evaluates and ranks the operational performance of passenger and frei...

(This article belongs to the Special Issue Fuzzy Sets, Fuzzy Numbers, Fuzzy Modeling, and Their Applications in Management and Engineering, 2nd Edition)
  • Article
  • Open Access
2 Citations
1,404 Views
19 Pages

4 November 2025

As technical discussions surrounding next-generation 6G networks are gaining momentum, dynamic and flexible network operation and management technologies remain essential for supporting services with diverse requirements. Specifically, the emergence...

  • Feature Paper
  • Article
  • Open Access
1,114 Views
15 Pages

4 November 2025

Recent developments of Normalized Compressed Distance (NCD) matrices show potential to become a widely used method to develop phylogenetic trees among a group of organisms. However, such NCD matrices lack the biological and evolutionary context that...

(This article belongs to the Section E3: Mathematical Biology)
  • Article
  • Open Access
9 Citations
1,580 Views
25 Pages

4 November 2025

To address the key challenges in shortest path planning for known static obstacle maps—such as the tendency to converge to local optima in U-shaped/narrow obstacle regions, unbalanced computational efficiency, and suboptimal path quality—...

(This article belongs to the Special Issue Fusion of Evolutionary Computation and Multidisciplinary Innovations for Emerging Optimization Challenges)
  • Article
  • Open Access
5 Citations
832 Views
23 Pages

4 November 2025

This paper investigates a new class of two-dimensional fuzzy difference equations that integrate logarithmic nonlinearities with interaction effects between system variables. Motivated by the need to model complex dynamical systems influenced by unce...

(This article belongs to the Special Issue Nonlinear Dynamics, Chaos, and Mathematical Physics)
  • Correction
  • Open Access
498 Views
2 Pages

4 November 2025

In the original publication [...]

(This article belongs to the Special Issue Image Processing and Machine Learning with Applications)
  • Article
  • Open Access
896 Views
26 Pages

A Bedbug Optimization-Based Machine Learning Framework for Software Fault Prediction

  • Bahman Arasteh,
  • Seyed Salar Sefati,
  • Eduard-Cristian Popovici,
  • Ibrahim Furkan Ince and
  • Farzad Kiani

4 November 2025

Predicting software faults and identifying defective modules is a significant challenge in developing reliable software products. Machine Learning (ML) approaches on the historical fault datasets are utilized to classify faulty software modules. The...

  • Article
  • Open Access
1 Citations
1,005 Views
24 Pages

The Design of a Rocket Angular Stabilization System Based on Stability and Performance Indices Using the Coefficient Method

  • Meirbek Moldabekov,
  • Alisher Aden,
  • Yerkin Orazaly,
  • Nuriya Zhumabekova and
  • Madi Kaliyev

4 November 2025

This paper proposes a coefficient-based method for designing a rocket angular stabilization system that yields an explicit, direct solution for determining the parameters of a PID control law from specified stability and performance indices. Lineariz...

  • Feature Paper
  • Article
  • Open Access
1 Citations
3,236 Views
19 Pages

4 November 2025

New AI technologies have empowered e-commerce personalized recommendation systems, many of which now leverage time-series forecasting to capture dynamic user preferences. However, buyers’ algorithm aversion hinders these systems from realizing...

(This article belongs to the Special Issue Innovative Methods in Long Sequence Forecasting and Time Series Analysis)
  • Article
  • Open Access
5 Citations
946 Views
24 Pages

3 November 2025

The construction of self-dual and linear complementary dual (LCD) codes over finite rings, particularly over semi-local and local structures, is an active area of research due to their algebraic richness and applications in communications and cryptog...

  • Article
  • Open Access
806 Views
17 Pages

3 November 2025

In this paper, we prove that the Taylor expansions of analytic functions appearing in the linearization of quadratic maps at hyperbolic fixed points do not successfully approximate invariant manifolds, such as stable and unstable manifolds, when high...

(This article belongs to the Section C2: Dynamical Systems)
  • Feature Paper
  • Article
  • Open Access
1,380 Views
34 Pages

A New Perspective on the Convergence of Mean-Based Methods for Nonlinear Equations

  • Alicia Cordero,
  • María Emilia Maldonado Machuca and
  • Juan R. Torregrosa

3 November 2025

Many problems in science, engineering, and economics require solving of nonlinear equations, often arising from attempts to model natural systems and predict their behavior. In this context, iterative methods provide an effective approach to approxim...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
1,475 Views
18 Pages

3 November 2025

Nonlinear optimization (NLO) is widely applicable to model and solve decision problems arising in engineering, economic, financial, and scientific studies. Due to the general scope of NLO, optimization model difficulty varies substantially, requiring...

(This article belongs to the Special Issue Innovations in Optimization and Operations Research)
  • Feature Paper
  • Article
  • Open Access
533 Views
39 Pages

3 November 2025

In this paper, we study a hyperbolic–elliptic system with L1-initial data, which arises as a mathematical model for chemotaxis. In particular, after introducing the notion of entropy solutions in this setting, we prove results concerning the ex...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
1 Citations
947 Views
19 Pages

Edge k-Product Cordial Labeling of Trees

  • Jenisha Jeganathan,
  • Maged Z. Youssef,
  • Jeya Daisy Kruz,
  • Jeyanthi Pon,
  • Wai-Chee Shiu and
  • Ibrahim Al-Dayel

3 November 2025

The concepts of k-product cordial labeling and edge product cordial labeling were introduced in 2012 and further explored by various researchers. Building on these ideas, we define a new concept called ‘edge k-product cordial labeling’ as...

(This article belongs to the Special Issue Advances in Combinatorics, Discrete Mathematics and Graph Theory, 2nd Edition)

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Mathematics - ISSN 2227-7390