Pub Date : 2025-11-30DOI: 10.1016/j.matcom.2025.11.030
Yuxuan Zhang, Zhiming Li
Uncertain regression analysis explores functional relationships in uncertain environments. While existing uncertain statistical models have been widely applied, they often struggle with some complex uncertain phenomena. This paper introduces an uncertain semi-varying coefficient model and derives the parameter vector using the profile least squares method. We provide residual analysis and hypothesis testing to validate the model’s fit, and introduce a significance test for constant coefficients. A case study on house prices demonstrates the model’s effectiveness, highlighting its potential for real-world applications, such as economic forecasting. Statistical tests indicate that the disturbance term should be characterized as an uncertain variable rather than a random one.
{"title":"Uncertain semi-varying coefficient model with application to housing prices","authors":"Yuxuan Zhang, Zhiming Li","doi":"10.1016/j.matcom.2025.11.030","DOIUrl":"10.1016/j.matcom.2025.11.030","url":null,"abstract":"<div><div>Uncertain regression analysis explores functional relationships in uncertain environments. While existing uncertain statistical models have been widely applied, they often struggle with some complex uncertain phenomena. This paper introduces an uncertain semi-varying coefficient model and derives the parameter vector using the profile least squares method. We provide residual analysis and hypothesis testing to validate the model’s fit, and introduce a significance test for constant coefficients. A case study on house prices demonstrates the model’s effectiveness, highlighting its potential for real-world applications, such as economic forecasting. Statistical tests indicate that the disturbance term should be characterized as an uncertain variable rather than a random one.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"243 ","pages":"Pages 270-282"},"PeriodicalIF":4.4,"publicationDate":"2025-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145685401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-30DOI: 10.1016/j.matcom.2025.11.038
Huanyi Wang, Suxia Zhang, Jinhu Xu, Xingyu Zhang
During an epidemic outbreak, the release of contagion data and related information in media coverage enhances protective awareness among individuals, thereby prompting behavioral adaptations that subsequently influence disease transmission dynamics. To explore the feedback mechanism between the dynamics of epidemic progression and social media, an SIR-M model incorporating the hierarchical impact of media-induced awareness is established, characterizing the distinct levels of behavioral response based on the perception of potential risks within the population. The analysis and application of the proposed model are conducted extensively and comprehensively. The findings demonstrate that under specific parametric conditions, the decay rate of media coverage can destabilize the endemic equilibrium and induce a Hopf bifurcation. This phenomenon is further confirmed by both one- and two-parameter bifurcation diagrams. Using particle swarm optimization algorithm for parameter estimation, we show that the proposed model effectively captures the temporal trends of both COVID-19 case data and related media coverage, revealing the hierarchical nature of protection awareness.
{"title":"Hierarchical impact of media-induced awareness on epidemic dynamics: Analysis and application of an SIR-M model","authors":"Huanyi Wang, Suxia Zhang, Jinhu Xu, Xingyu Zhang","doi":"10.1016/j.matcom.2025.11.038","DOIUrl":"10.1016/j.matcom.2025.11.038","url":null,"abstract":"<div><div>During an epidemic outbreak, the release of contagion data and related information in media coverage enhances protective awareness among individuals, thereby prompting behavioral adaptations that subsequently influence disease transmission dynamics. To explore the feedback mechanism between the dynamics of epidemic progression and social media, an SIR-M model incorporating the hierarchical impact of media-induced awareness is established, characterizing the distinct levels of behavioral response based on the perception of potential risks within the population. The analysis and application of the proposed model are conducted extensively and comprehensively. The findings demonstrate that under specific parametric conditions, the decay rate of media coverage can destabilize the endemic equilibrium and induce a Hopf bifurcation. This phenomenon is further confirmed by both one- and two-parameter bifurcation diagrams. Using particle swarm optimization algorithm for parameter estimation, we show that the proposed model effectively captures the temporal trends of both COVID-19 case data and related media coverage, revealing the hierarchical nature of protection awareness.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"243 ","pages":"Pages 307-326"},"PeriodicalIF":4.4,"publicationDate":"2025-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145685315","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-29DOI: 10.1016/j.matcom.2025.11.032
Andrés Fraguela , Carlos D. Ponce , Juan C. Hernández-Gómez , José M. Sigarreta
This paper develops a mathematical framework to estimate the average productivity of Aedes aegypti (Diptera: Culicidae) in artificial breeding sites, focusing on open household water-storage containers typical of areas with limited access to piped water. We introduce the effective larval displacement volume and, using data from a controlled experiment conducted under climatic conditions favorable for mosquito larval development, derive stage-specific carrying capacities as functions of container dimensions and water volume. The mosquito life cycle is represented by a dynamic population model with seven biologically grounded stages (egg, four larval instars, pupa, and adult) that incorporates nonlinear oviposition, asynchronous hatching, and density-dependent larval competition. Assuming favorable climatic conditions the model admits a unique, globally asymptotically stable equilibrium, so the equilibrium adult population provides a robust measure of breeding-site productivity. From this equilibrium we obtain a closed-form approximation for average adult productivity in terms of water-column height and container perimeter, and apply it to storage containers commonly used in Latin-America: buckets, plastic barrels, water tanks, and cement storage piles. The results indicate that productivity varies only weakly with container size, suggesting that consolidating stored water into a single large container, rather than several smaller ones, may reduce overall mosquito emergence. Because all estimates are derived under optimal environmental and water-quality conditions, they should be interpreted as upper bounds for productivity under less favorable or adverse settings, a distinction that is essential for real-world vector-control planning. Overall, the proposed approach offers an operational tool for quantifying productivity in domestic water-storage breeding sites.
{"title":"Maximum productivity of Aedes aegypti (Diptera: Culicidae) based on the dynamics of its aquatic state","authors":"Andrés Fraguela , Carlos D. Ponce , Juan C. Hernández-Gómez , José M. Sigarreta","doi":"10.1016/j.matcom.2025.11.032","DOIUrl":"10.1016/j.matcom.2025.11.032","url":null,"abstract":"<div><div>This paper develops a mathematical framework to estimate the average productivity of <em>Aedes aegypti</em> (Diptera: Culicidae) in artificial breeding sites, focusing on open household water-storage containers typical of areas with limited access to piped water. We introduce the effective larval displacement volume and, using data from a controlled experiment conducted under climatic conditions favorable for mosquito larval development, derive stage-specific carrying capacities as functions of container dimensions and water volume. The mosquito life cycle is represented by a dynamic population model with seven biologically grounded stages (egg, four larval instars, pupa, and adult) that incorporates nonlinear oviposition, asynchronous hatching, and density-dependent larval competition. Assuming favorable climatic conditions the model admits a unique, globally asymptotically stable equilibrium, so the equilibrium adult population provides a robust measure of breeding-site productivity. From this equilibrium we obtain a closed-form approximation for average adult productivity in terms of water-column height and container perimeter, and apply it to storage containers commonly used in Latin-America: buckets, plastic barrels, water tanks, and cement storage piles. The results indicate that productivity varies only weakly with container size, suggesting that consolidating stored water into a single large container, rather than several smaller ones, may reduce overall mosquito emergence. Because all estimates are derived under optimal environmental and water-quality conditions, they should be interpreted as upper bounds for productivity under less favorable or adverse settings, a distinction that is essential for real-world vector-control planning. Overall, the proposed approach offers an operational tool for quantifying productivity in domestic water-storage breeding sites.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"242 ","pages":"Pages 244-269"},"PeriodicalIF":4.4,"publicationDate":"2025-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145693936","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-27DOI: 10.1016/j.matcom.2025.11.037
Qiu Peng , Manchun Tan , Mingbing Luo , Kai Wu
Synchronization is crucial for achieving coordinated dynamic behavior and improving operational efficiency in complex networks. This paper focuses on the practical finite-time bipartite synchronization (PFTBS) of fractional-order Takagi–Sugeno (T–S) fuzzy multilayer signed networks (FOTSFMSNs) with time-varying coupling weights. First, to reduce communication resource consumption and control costs, a fuzzy exponential dynamic event-triggered hybrid impulsive control method is designed by introducing the exponential decay function under the T–S fuzzy rule. Second, a graph-theoretic Lyapunov function with two time-varying coefficients is constructed, and corresponding fractional-order derivative rules are established. Using graph theory and a new practical fractional-order impulsive finite-time inequality, sufficient conditions for PFTBS are derived, and Zeno behavior is effectively excluded. Finally, numerical simulations are carried out on two FOTSFMSNs, one using fractional-order Chua’s chaotic circuit and the other using fractional-order power system as node dynamics. The numerical results confirm the effectiveness of the control method.
{"title":"Practical finite-time bipartite synchronization for fractional-order T–S fuzzy multilayer signed networks via dynamic event-triggered hybrid impulsive control","authors":"Qiu Peng , Manchun Tan , Mingbing Luo , Kai Wu","doi":"10.1016/j.matcom.2025.11.037","DOIUrl":"10.1016/j.matcom.2025.11.037","url":null,"abstract":"<div><div>Synchronization is crucial for achieving coordinated dynamic behavior and improving operational efficiency in complex networks. This paper focuses on the practical finite-time bipartite synchronization (PFTBS) of fractional-order Takagi–Sugeno (T–S) fuzzy multilayer signed networks (FOTSFMSNs) with time-varying coupling weights. First, to reduce communication resource consumption and control costs, a fuzzy exponential dynamic event-triggered hybrid impulsive control method is designed by introducing the exponential decay function under the T–S fuzzy rule. Second, a graph-theoretic Lyapunov function with two time-varying coefficients is constructed, and corresponding fractional-order derivative rules are established. Using graph theory and a new practical fractional-order impulsive finite-time inequality, sufficient conditions for PFTBS are derived, and Zeno behavior is effectively excluded. Finally, numerical simulations are carried out on two FOTSFMSNs, one using fractional-order Chua’s chaotic circuit and the other using fractional-order power system as node dynamics. The numerical results confirm the effectiveness of the control method.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"242 ","pages":"Pages 297-322"},"PeriodicalIF":4.4,"publicationDate":"2025-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145693938","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-26DOI: 10.1016/j.matcom.2025.11.025
Weishi Peng , Runze Wu , Yu Wang , Jingyi Wang
To address the inherent limitations of the conventional Egret Swarm Optimization Algorithm (ESOA), this study proposes an enhanced variant, namely the improved egret swarm optimization algorithm (IESOA), which integrates a hybrid multi-strategy framework. Initially, the piecewise chaotic mapping is employed for population initialization. This approach enables a more flexible distribution of egret individuals within the initial solution space, thereby enhancing population diversity and mitigating the risk of the algorithm converging to local optima. Subsequently, an adaptive T-distribution method is introduced to update the hunting positions of egret squads. This modification strengthens the algorithms capability to escape local optima and improves its global search performance. Furthermore, a sine–cosine strategy is incorporated to dynamically adjust the search direction and control step size variations during the optimization process, which significantly accelerates the convergence speed. Experimental results demonstrate that IESOA exhibits robust performance in escaping local optima, achieves rapid convergence, and maintains relatively high optimization accuracy.
{"title":"Improved Egret Swarm Optimization Algorithm with mixed multi-strategy for system evaluation","authors":"Weishi Peng , Runze Wu , Yu Wang , Jingyi Wang","doi":"10.1016/j.matcom.2025.11.025","DOIUrl":"10.1016/j.matcom.2025.11.025","url":null,"abstract":"<div><div>To address the inherent limitations of the conventional Egret Swarm Optimization Algorithm (ESOA), this study proposes an enhanced variant, namely the improved egret swarm optimization algorithm (IESOA), which integrates a hybrid multi-strategy framework. Initially, the piecewise chaotic mapping is employed for population initialization. This approach enables a more flexible distribution of egret individuals within the initial solution space, thereby enhancing population diversity and mitigating the risk of the algorithm converging to local optima. Subsequently, an adaptive T-distribution method is introduced to update the hunting positions of egret squads. This modification strengthens the algorithms capability to escape local optima and improves its global search performance. Furthermore, a sine–cosine strategy is incorporated to dynamically adjust the search direction and control step size variations during the optimization process, which significantly accelerates the convergence speed. Experimental results demonstrate that IESOA exhibits robust performance in escaping local optima, achieves rapid convergence, and maintains relatively high optimization accuracy.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"243 ","pages":"Pages 362-381"},"PeriodicalIF":4.4,"publicationDate":"2025-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145685317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-26DOI: 10.1016/j.matcom.2025.11.005
Yang Cao , Jincy Jacob , S. Dharani , M. Sivakumar
The stability of mixed time-varying delayed and proportional delayed Quaternion-Valued Neural Networks (QVNNs) is investigated herein. We contemplate the QVNNs as a single entity, as opposed to dissecting them into separate Complex-Valued Neural Networks (CVNNs) or Real-Valued Neural Networks(RVNNs). By employing Lyapunov–Krasovskii Functionals (LKF) with free weight matrices and linear matrix inequalities (LMI), sufficient conditions for global asymptotic stability are obtained for the proposed model. To show the usefulness of the derived theoretical deductions, a numerical illustration is offered at the end.
{"title":"Improved stability analysis for quaternion-valued neural networks with proportional and mixed time-varying delays","authors":"Yang Cao , Jincy Jacob , S. Dharani , M. Sivakumar","doi":"10.1016/j.matcom.2025.11.005","DOIUrl":"10.1016/j.matcom.2025.11.005","url":null,"abstract":"<div><div>The stability of mixed time-varying delayed and proportional delayed Quaternion-Valued Neural Networks (QVNNs) is investigated herein. We contemplate the QVNNs as a single entity, as opposed to dissecting them into separate Complex-Valued Neural Networks (CVNNs) or Real-Valued Neural Networks(RVNNs). By employing Lyapunov–Krasovskii Functionals (LKF) with free weight matrices and linear matrix inequalities (LMI), sufficient conditions for global asymptotic stability are obtained for the proposed model. To show the usefulness of the derived theoretical deductions, a numerical illustration is offered at the end.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"242 ","pages":"Pages 270-278"},"PeriodicalIF":4.4,"publicationDate":"2025-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145693937","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-26DOI: 10.1016/j.matcom.2025.11.033
Pedro R.S. Antunes , Hernani Calunga , Pedro Serranho
The MFS-SVD approach introduced in [1], which combines the method of fundamental solutions (MFS) with singular value decomposition (SVD), is a potential alternative to existing methods for improving the conditioning of MFS linear systems. However, until now, the feasibility of this approach for boundary value problems (BVPs) defined on planar domains, has only been illustrated for two problems involving second order partial differential equations: The Laplace equation in [1] and the homogeneous Helmholtz equation in [2]. These papers suggest that SVD should be applied to the ill-conditioned factor of the MFS linear systems decomposition, which does not apply to higher order problems. In this work, we bring more clarity to this point, contributing to the establishment of a complete procedure to follow when solving problems using the MFS-SVD approach. We use the biharmonic boundary value problem, a fourth order PDE, to illustrate this procedure. This is done by approaching the numerical solution of the problem using two different ansatz, which means two different addition theorems and two different decompositions, with the aim of reinforcing the idea about the robustness of the MFS-SVD, regardless of the numerical formulation being considered. As expected, the MFS-SVD performs similarly in both cases.
{"title":"On improving the conditioning of the method of fundamental solutions for biharmonic BVPs in 2D domains","authors":"Pedro R.S. Antunes , Hernani Calunga , Pedro Serranho","doi":"10.1016/j.matcom.2025.11.033","DOIUrl":"10.1016/j.matcom.2025.11.033","url":null,"abstract":"<div><div>The MFS-SVD approach introduced in <span><span>[1]</span></span>, which combines the method of fundamental solutions (MFS) with singular value decomposition (SVD), is a potential alternative to existing methods for improving the conditioning of MFS linear systems. However, until now, the feasibility of this approach for boundary value problems (BVPs) defined on planar domains, has only been illustrated for two problems involving second order partial differential equations: The Laplace equation in <span><span>[1]</span></span> and the homogeneous Helmholtz equation in <span><span>[2]</span></span>. These papers suggest that SVD should be applied to the ill-conditioned factor of the MFS linear systems decomposition, which does not apply to higher order problems. In this work, we bring more clarity to this point, contributing to the establishment of a complete procedure to follow when solving problems using the MFS-SVD approach. We use the biharmonic boundary value problem, a fourth order PDE, to illustrate this procedure. This is done by approaching the numerical solution of the problem using two different ansatz, which means two different addition theorems and two different decompositions, with the aim of reinforcing the idea about the robustness of the MFS-SVD, regardless of the numerical formulation being considered. As expected, the MFS-SVD performs similarly in both cases.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"243 ","pages":"Pages 237-250"},"PeriodicalIF":4.4,"publicationDate":"2025-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145618558","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-26DOI: 10.1016/j.matcom.2025.11.034
Giacomo Speroni , Nicola Ferro
We present a novel metric-based anisotropic mesh adaptation algorithm, named , to be employed for discretization of three-dimensional periodic domains. The proposed method – based on mathematically rigorous assumptions – utilizes established techniques for unconstrained anisotropic mesh adaptation and resorts to localized manipulations on the external boundary of the mesh. In particular, the scheme comprises four steps: (i) a non-periodic initial mesh adaptation, (ii) the splitting of the obtained volumetric grid into interior and exterior tessellations, (iii) minimal local operations to yield a periodic external surface, and (iv) the assembly of the final adapted grids. To demonstrate the robustness, efficacy, and flexibility of the proposed methodology, algorithm is employed in a continuous finite element setting to tackle test cases established in the literature as well as challenging scenarios that involve various periodic requirements, domain geometries, and isotropic and anisotropic metric fields. Finally, is employed in a practical use case where mesh adaptation is tightly coupled with the solution of a time-dependent partial differential equation.
{"title":"A novel metric-based anisotropic mesh adaptation algorithm for 3D periodic domains","authors":"Giacomo Speroni , Nicola Ferro","doi":"10.1016/j.matcom.2025.11.034","DOIUrl":"10.1016/j.matcom.2025.11.034","url":null,"abstract":"<div><div>We present a novel metric-based anisotropic mesh adaptation algorithm, named <span><math><mrow><mn>3</mn><mstyle><mi>DPAMA</mi></mstyle></mrow></math></span>, to be employed for discretization of three-dimensional periodic domains. The proposed method – based on mathematically rigorous assumptions – utilizes established techniques for unconstrained anisotropic mesh adaptation and resorts to localized manipulations on the external boundary of the mesh. In particular, the scheme comprises four steps: (i) a non-periodic initial mesh adaptation, (ii) the splitting of the obtained volumetric grid into interior and exterior tessellations, (iii) minimal local operations to yield a periodic external surface, and (iv) the assembly of the final adapted grids. To demonstrate the robustness, efficacy, and flexibility of the proposed methodology, <span><math><mrow><mn>3</mn><mstyle><mi>DPAMA</mi></mstyle></mrow></math></span> algorithm is employed in a continuous finite element setting to tackle test cases established in the literature as well as challenging scenarios that involve various periodic requirements, domain geometries, and isotropic and anisotropic metric fields. Finally, <span><math><mrow><mn>3</mn><mstyle><mi>DPAMA</mi></mstyle></mrow></math></span> is employed in a practical use case where mesh adaptation is tightly coupled with the solution of a time-dependent partial differential equation.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"243 ","pages":"Pages 251-269"},"PeriodicalIF":4.4,"publicationDate":"2025-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145618560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-25DOI: 10.1016/j.matcom.2025.11.031
Seok Young Lee , Nam Kyu Kwon , JunMin Park
This paper proposes a novel looped-functional approach that provides tractable conditions for the stability analysis and stabilization synthesis of linear systems under asynchronously sampled inputs. To reduce the conservatism of these conditions, a general looped-functional framework is introduced that includes existing approaches as special cases, and thereby yields more relaxed conditions expressed as linear matrix inequalities. Compared to several existing works, the proposed approach offers not only a general but also a specific functional structure composed of bivariate functions. One of these variables is associated with differentiation, and the other is associated with integration. The proposed framework provides relaxed conditions for both the Lyapunov functional and its time derivative, which play essential roles in the conservatism reduction of the conditions for stability analysis and stabilization synthesis. Seven numerical examples demonstrate the effectiveness of the proposed approach through maximum admissible sampling intervals, with only a small additional number of decision variables.
{"title":"Stability analysis and stabilization synthesis of asynchronously sampled-data systems via integral looped functionals composed of bivariate functions","authors":"Seok Young Lee , Nam Kyu Kwon , JunMin Park","doi":"10.1016/j.matcom.2025.11.031","DOIUrl":"10.1016/j.matcom.2025.11.031","url":null,"abstract":"<div><div>This paper proposes a novel looped-functional approach that provides tractable conditions for the stability analysis and stabilization synthesis of linear systems under asynchronously sampled inputs. To reduce the conservatism of these conditions, a general looped-functional framework is introduced that includes existing approaches as special cases, and thereby yields more relaxed conditions expressed as linear matrix inequalities. Compared to several existing works, the proposed approach offers not only a general but also a specific functional structure composed of bivariate functions. One of these variables is associated with differentiation, and the other is associated with integration. The proposed framework provides relaxed conditions for both the Lyapunov functional and its time derivative, which play essential roles in the conservatism reduction of the conditions for stability analysis and stabilization synthesis. Seven numerical examples demonstrate the effectiveness of the proposed approach through maximum admissible sampling intervals, with only a small additional number of decision variables.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"243 ","pages":"Pages 221-236"},"PeriodicalIF":4.4,"publicationDate":"2025-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145618559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-11-25DOI: 10.1016/j.matcom.2025.11.028
Md. Mutakabbir Khan
This work investigates the nonlinear dynamics of a discrete predator–prey system with prey cannibalism and group defense. The model combines Smith-type growth with a cannibalistic term for prey, while predators follow a Monod–Haldane response. Using the center manifold theorem, we establish conditions for period-doubling (PD) and Neimark–Sacker (NS) bifurcations within the biologically feasible region. Numerical simulations validate these theoretical results and reveal complex dynamics, including high-periodic orbits, quasi-periodic invariant closed curves, and chaotic attractors confirmed through maximal Lyapunov exponents. To suppress chaotic fluctuations and restore ecological balance, we implement both the Ott–Grebogi–Yorke (OGY) method and a state feedback control strategy, successfully stabilizing the system near unstable equilibria. This work deepens the understanding of nonlinear mechanisms governing ecological interactions and offers robust control strategies to manage chaos in discrete biological systems.
{"title":"Nonlinear dynamics and Chaos control in a discrete predator–prey model with Smith-type growth, cannibalism, and group defense","authors":"Md. Mutakabbir Khan","doi":"10.1016/j.matcom.2025.11.028","DOIUrl":"10.1016/j.matcom.2025.11.028","url":null,"abstract":"<div><div>This work investigates the nonlinear dynamics of a discrete predator–prey system with prey cannibalism and group defense. The model combines Smith-type growth with a cannibalistic term for prey, while predators follow a Monod–Haldane response. Using the center manifold theorem, we establish conditions for period-doubling (PD) and Neimark–Sacker (NS) bifurcations within the biologically feasible region. Numerical simulations validate these theoretical results and reveal complex dynamics, including high-periodic orbits, quasi-periodic invariant closed curves, and chaotic attractors confirmed through maximal Lyapunov exponents. To suppress chaotic fluctuations and restore ecological balance, we implement both the Ott–Grebogi–Yorke (OGY) method and a state feedback control strategy, successfully stabilizing the system near unstable equilibria. This work deepens the understanding of nonlinear mechanisms governing ecological interactions and offers robust control strategies to manage chaos in discrete biological systems.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"243 ","pages":"Pages 149-170"},"PeriodicalIF":4.4,"publicationDate":"2025-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145618619","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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