Mathematical Methods in the Applied Sciences最新文献

{"title":"A SEIQRS Computer Virus Propagation Model and Impulse Control With Two Delays","authors":"JunLing Wang,&nbsp;Xinxin Chang,&nbsp;Lei Zhong","doi":"10.1002/mma.10721","DOIUrl":"https://doi.org/10.1002/mma.10721","url":null,"abstract":"<div>\u0000 \u0000 <p>Computer viruses have caused great harm and nasty effects on people's lives. Therefore, analyzing and establishing the corresponding mathematical model can help explore and study the propagation law of computer viruses. On this basis, we apply the theory of computer virus propagation dynamics by combining computer viruses and the variability of their removal rates of different states in the network. The study presents a new Susceptible-Exposed-Infected-Quarantine-Recovered-Susceptible (SEIQRS) computer virus propagation model with two delays. In addition, we introduce impulse control, an optimal control method, to explore the effect of the impulse period on the model. We first derive the basic reproduction number of the model. Then, the characteristic equations and eigenvalues are discussed analytically by controlling the delay parameters variation in order to analyze local stability and Hopf bifurcation for the computer virus model. Next, we add impulse control and find that it could better control the propagation of computer viruses. Firstly, we analyze the dynamical behavior of this model using the relevant theories of time delay differential equations to provide a theoretical basis for the effective elimination and control of virus propagation in computer networks. Secondly, we use Matlab to conduct numerical simulations, which verify the correctness of theoretical results. Finally, we synthesize the theoretical and experimental analysis of the present model to provide some scientific suggestions for better control of the spreading of computer viruses.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6851-6865"},"PeriodicalIF":2.1,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622283","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dual-Inertial Viscosity-Based Subgradient Extragradient Methods for Equilibrium Problems Over Fixed Point Sets","authors":"Habib ur Rehman,&nbsp;Kanokwan Sitthithakerngkiet,&nbsp;Thidaporn Seangwattana","doi":"10.1002/mma.10722","DOIUrl":"https://doi.org/10.1002/mma.10722","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper introduces a new algorithmic framework for solving pseudomonotone equilibrium problems and demicontractive fixed-point problems. Unlike conventional methods that incorporate a single inertial step, our approach employs dual inertia to accelerate convergence while preserving stability. The proposed method combines the viscosity approximation technique with the extragradient method to guarantee strong convergence. Initially, the extragradient method is applied under a Lipschitz continuity assumption on the equilibrium bifunction. Subsequently, this condition is relaxed by adopting a self-adaptive step size strategy, allowing variable step sizes to be updated iteratively based on the current iterates information. Notably, the algorithm operates without requiring prior knowledge of the Lipschitz constants or any line search procedures. Strong convergence is established under mild condition, and its applicability to variational inequality problems is demonstrated. Numerical experiments validate the effectiveness of the proposed approach, showcasing its capability to handle large-scale and complex problems efficiently while outperforming traditional single-inertia methods.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6866-6888"},"PeriodicalIF":2.1,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622570","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Correction to “Quantitative Analysis of Total Magnetic Anomaly Maps on Archaeological Sites—Part 1”","authors":"","doi":"10.1002/mma.10692","DOIUrl":"https://doi.org/10.1002/mma.10692","url":null,"abstract":"<p>\u0000 <span>Deniz Toktay, H</span>, <span>Aydoğan, D</span>, <span>Yüksel, FA</span>. <span>Quantitative Analysis of Total Magnetic Anomaly Maps on Archaeological Sites—Part 1</span>. <i>Math Meth Appl Sci.</i> <span>2021</span>; <span>44</span>(<span>17</span>): <span>13696</span>–<span>13710</span>. https://doi.org/10.1002/mma.7652</p><p>The Acknowledgement section of this paper, “The authors would like to express their gratitude to Şevket Dönmez and the excavation crew for enabling us to apply geophysical methods in the excavation site.” contains incomplete information. The sentence “This study includes sections from Hazel Deniz Toktay's PhD thesis titled “Determination of Amasya Oluz Höyük Archaeological Layers by Using Archaeogeophysical Methods” should be added after the first sentence.</p><p>This part should be rewritten as follows: “The authors would like to express their gratitude to Şevket Dönmez and the excavation crew for enabling us to apply geophysical methods at the excavation site. This study includes sections from Hazel Deniz Toktay's PhD thesis titled “Determination of Amasya Oluz Höyük Archaeological Layers by Using Archaeogeophysical Methods”.”</p><p>We apologize for this error.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6974"},"PeriodicalIF":2.1,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.10692","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Performance of Ritz-Piecewise Gegenbauer Approach for Two Types of Fractional Pantograph Equations Including Piecewise Fractional Derivative","authors":"Haniye Dehestani","doi":"10.1002/mma.10724","DOIUrl":"https://doi.org/10.1002/mma.10724","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper introduces a novel numerical algorithm for solving pantograph differential equations and Volterra functional integro-differential equations including the piecewise fractional derivative. The proposed algorithm combines the piecewise Gegenbauer functions, the Ritz method, and operational matrices. These functions have great flexibility to match the problems containing piecewise fractional derivatives. Due to the problems, we calculate the operational matrix of derivatives, the operational matrix of the piecewise fractional derivative, and the pantograph operational matrix. By employing the proposed numerical algorithm, we transform the problems into a system of algebraic equations. Moreover, we discuss the error estimation of the approximate solution and residual error. Finally, we provide details on the implementation of this technique through several numerical examples to demonstrate its applicability.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6889-6903"},"PeriodicalIF":2.1,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622571","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Modeling and Pricing European-Style Continuous-Installment Option Under the Heston Stochastic Volatility Model: A PDE Approach","authors":"Nasrin Ebadi,&nbsp;Hosein Azari","doi":"10.1002/mma.10691","DOIUrl":"https://doi.org/10.1002/mma.10691","url":null,"abstract":"<div>\u0000 \u0000 <p>Installment options, as path-dependent contingent claims, involve paying the premium discretely or continuously in installments, rather than as a lump sum at the time of purchase. In this paper, we applied the PDE approach to price European continuous-installment option and consider Heston stochastic volatility model for the dynamics of the underlying asset. We proved the existence and uniqueness of the weak solution for our pricing problem based on the two-dimensional finite element method. Due to the flexibility to continue or stop paying installments, installment options pricing can be modeled as an optimal stopping time problem. This problem is formulated as an equivalent free boundary problem and then as a linear complementarity problem (LCP). We wrote the resulted LCP in the form of a variational inequality and used the finite element method for the discretization. Then the resulting time-dependent LCPs are solved by using a projected successive over relaxation iteration method. Finally, we implemented our numerical method. The numerical results verified the efficiency and accuracy of the proposed numerical method.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6521-6530"},"PeriodicalIF":2.1,"publicationDate":"2025-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On Uniform Null Controllability of Transport–Diffusion Equations With Vanishing Viscosity Limit","authors":"Fouad Et-Tahri,&nbsp;Jon Asier Bárcena-Petisco,&nbsp;Idriss Boutaayamou,&nbsp;Lahcen Maniar","doi":"10.1002/mma.10693","DOIUrl":"https://doi.org/10.1002/mma.10693","url":null,"abstract":"&lt;div&gt;\u0000 \u0000 &lt;p&gt;This paper aims to address an interesting open problem, posed in the paper “Singular Optimal Control for a Transport-Diffusion Equation” of Sergio Guerrero and Gilles Lebeau in 2007. The problem involves studying the null controllability cost of a transport–diffusion equation with Neumann conditions, where the diffusivity coefficient is denoted by \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;ε&lt;/mi&gt;\u0000 &lt;mo&gt;&gt;&lt;/mo&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ varepsilon &amp;gt;0 $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; and the velocity by \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;B&lt;/mi&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;x&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;t&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ mathfrak{B}left(x,tright) $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;. Our objective is twofold. First, we investigate the scenario where each velocity trajectory \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;B&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ mathfrak{B} $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; originating from \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mover&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;Ω&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mo&gt;‾&lt;/mo&gt;\u0000 &lt;/mover&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ overline{Omega} $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; enters the control region in a shorter time at a fixed entry time. By employing Agmon and dissipation inequalities, and Carleman estimate in the case \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;B&lt;/mi&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;x&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;t&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ mathfrak{B}left(x,tright) $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; is the gradient of a time-dependent scalar field, we establish that the control cost remains bounded for sufficiently small \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;ε&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ varepsilon $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; and large control time. Secondly, we explore the case where at least one trajectory fails to enter the control region and remains in \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;Ω&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ Omega $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;. In this scenario, we prove that the control cost explodes exponentially when the diffusi","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6531-6552"},"PeriodicalIF":2.1,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Correction to Blowing-up solutions for the Moorea–Gibson–Thompson equation with a viscoelastic memory and an external force","authors":"","doi":"10.1002/mma.10690","DOIUrl":"https://doi.org/10.1002/mma.10690","url":null,"abstract":"<p>\u0000 <span>Kirane, M</span>, <span>Draifia, A. E</span>, and <span>Jlali, L</span>. <span>Blowing-up solutions for the Moore–Gibson–Thompson equation with a viscoelastic memory and an external force</span>. <i>Math Meth Appl Sci</i>. <span>2024</span>; <span>47</span>(<span>16</span>): <span>12567</span>–<span>12589</span>. https://doi.org/10.1002/mma.10094.</p><p>In the Article Title, “Moorea” should read as “Moore”.</p><p>The online article has also been corrected.</p>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6973"},"PeriodicalIF":2.1,"publicationDate":"2025-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/mma.10690","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622633","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Spatially Nonhomogeneous Hopf and Turing Bifurcations Driven by the Nonlocal Effect With the Spatial Average Kernel","authors":"Shuyang Xue,&nbsp;Yongli Song","doi":"10.1002/mma.10730","DOIUrl":"https://doi.org/10.1002/mma.10730","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, we first derive the algorithm of calculating the normal form of spatially nonhomogeneous Hopf bifurcation and Turing bifurcation for the general reaction–diffusion system with spatial average. Then we investigate the spatiotemporal dynamics of nonlocal Lotka–Volterra competitive model and nonlocal Holling–Tanner predator–prey model. It has been shown that the spatial average is a new mechanism to induce the patterns. By calculating the normal form, the type of bifurcation and stability of spatiotemporal patterns bifurcating from the constant equilibrium are investigated. For the nonlocal Lotka–Volterra competitive model, the coexistence of two spatially nonhomogeneous spatial patterns is found. For the nonlocal Holling–Tanner predator–prey model, we found not only the coexistence of two spatially nonhomogeneous spatial patterns but also the stable spatially nonhomogeneous periodic patterns.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6953-6972"},"PeriodicalIF":2.1,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622759","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Robust Sampled-Data Synchronization of Memristor Inertial Competitive Neural Networks With Two Delay Components","authors":"A. R. Subhashri,&nbsp;T. Radhika","doi":"10.1002/mma.10713","DOIUrl":"https://doi.org/10.1002/mma.10713","url":null,"abstract":"<div>\u0000 \u0000 <p>The current study addresses the issue of synchronization in competitive neural networks that are based on memristors and involve an inertial term, parameter uncertainty, and two delay components using sampled-data control. To achieve synchronization, appropriate Lyapunov-Krasovskii functionals (LKFs) are constructed, which include double and triple integral terms that capture the information of time delay cross terms. Some sufficient synchronization conditions are derived in terms of linear matrix inequalities (LMIs) using an improved reciprocally convex combination inequality and generalized free weighting matrices inequality. The effectiveness of the proposed findings is highlighted through an illustrative example, validating the robustness and reliability of the developed synchronization approach.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 6","pages":"6764-6778"},"PeriodicalIF":2.1,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143622519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Global Dynamics of a Multiscale Immuno-Cholera Transmission Model With Bacterial Hyperinfectivity on Complex Networks","authors":"Xinxin Cheng,&nbsp;Yi Wang,&nbsp;Gang Huang","doi":"10.1002/mma.10646","DOIUrl":"https://doi.org/10.1002/mma.10646","url":null,"abstract":"&lt;div&gt;\u0000 \u0000 &lt;p&gt;The spread of cholera at the population level depends on the immunological characteristics of pathogens at the individual level. In addition, contact heterogeneity among individuals plays a significant role in cholera transmission. In this paper, we construct a multiscale coupled immuno-cholera model considering waning vaccine-induced immunity and hyperinfectious vibrios and utilize a nested approach to bridge within-host vibrio evolution and between-host cholera transmission on complex networks. The basic reproduction numbers \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msubsup&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;R&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;W&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msubsup&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ {R}_0^W $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; and \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msubsup&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;R&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;B&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msubsup&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ {R}_0^B $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; for the within- and between-host models are derived, respectively, and \u0000&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msubsup&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;R&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;B&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msubsup&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ {R}_0^B $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; is validated to serve as a sharp threshold between extinction and persistence of cholera. Specifically, the global asymptotic stability of each feasible equilibrium for the between-host system is established by formulating appropriate Lyapunov functionals. Numerical simulations are performed to assess the influences of within-host vibrio dynamics and network topology on between-host cholera transmission dynamics. The results show that the equilibrium level of total infected individuals is a nonmonotonic function of vibrio growth rate, implying that hampering within-host vibrio growth by drug treatment during the outbreak could alter the long-term outcomes of cholera. Furthermore, the heterogeneity of network degree distributions increases the risk of cholera outbreaks, suggesting that isolation and supervision for infected in","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"48 5","pages":"5920-5945"},"PeriodicalIF":2.1,"publicationDate":"2025-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143595524","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}