Mathematics and Computers in Simulation最新文献_第10页

Mitigating negative effects of EBHSV-infected eastern cottontail invasion in Italy using Z-type control on a four-population system 利用四种群系统的z型控制减轻意大利东部棉尾入侵感染ebhv的负面影响

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-02-01 DOI: 10.1016/j.matcom.2025.01.024

Francesca Acotto , Fabiana Camattari , Ezio Venturino

{"title":"Mitigating negative effects of EBHSV-infected eastern cottontail invasion in Italy using Z-type control on a four-population system","authors":"Francesca Acotto , Fabiana Camattari , Ezio Venturino","doi":"10.1016/j.matcom.2025.01.024","DOIUrl":"10.1016/j.matcom.2025.01.024","url":null,"abstract":"<div><div>The introduction in Italy of eastern cottontails (<em>Sylvilagus floridanus</em>) for hunting purposes has influenced the local predator–prey dynamics of the red foxes (<em>Vulpes vulpes</em>) and native European hares (<em>Lepus europaeus</em>). Although no direct competition seems to occur between the two lagomorphs, the cottontail invasion damages the indigenous hare population. Indeed, the invasive lagomorphs cause hyperpredation of red foxes on native hares and are also carriers of viruses and parasites. This paper focuses on the situation in which EBHSV-infected eastern cottontails are introduced in a region of virus-free European hares. To avoid the extinction of native lagomorphs and to contain the invasive ones, we look at two possible biological control actions using the Z-type control method on a four-population reference system. In particular, we consider an indirect control of the invasive prey acting on predators and a combination of this indirect control with direct control on native prey. The corresponding Z-controlled models are investigated analytically and numerically. In both cases, the Z-type control significantly reduces the number of equilibria and the convergence of the cottontail population to the desired state is ensured. The hare survival, instead, is guaranteed only in the second case. Overall, mathematically speaking, the second Z-type control action seems the best solution. However, in the cases in which the indirect control on cottontails allows the native prey survival, this control may be preferable since it involves only one control function and seems more practicable. In any case, in the choice of control action, ecosystem managers need to consider each specific situation, taking into account various elements from a biological and practical point of view.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"233 ","pages":"Pages 117-136"},"PeriodicalIF":4.4,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143226661","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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Excitability and synchronization of vanadium dioxide memristor-inspired neurons 二氧化钒忆阻器激发神经元的兴奋性和同步性

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-02-01 DOI: 10.1016/j.matcom.2025.01.022

Yan Shao , Fuqiang Wu , Qingyun Wang

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Split-step ϑ integrator for generalized stochastic Volterra integro-differential equations 广义随机Volterra积分微分方程的分步积分器

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-31 DOI: 10.1016/j.matcom.2025.01.021

Hassan Ranjbar

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Multi-parameter bifurcations in a discrete Ricker-type predator–prey model with prey immigration 具有猎物迁移的离散ricker型捕食者-猎物模型的多参数分岔

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-30 DOI: 10.1016/j.matcom.2025.01.020

Karima Mokni, Hajar Mouhsine, Mohamed Ch-Chaoui

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Stability analysis and optimal control of tumour-immune interaction problem using fractional order derivative 肿瘤免疫相互作用问题的分数阶导数稳定性分析及最优控制

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-30 DOI: 10.1016/j.matcom.2024.12.028

Tarekegn Dinku , Boka Kumsa , Jyotirmoy Rana , Aiyappan Srinivasan

{"title":"Stability analysis and optimal control of tumour-immune interaction problem using fractional order derivative","authors":"Tarekegn Dinku , Boka Kumsa , Jyotirmoy Rana , Aiyappan Srinivasan","doi":"10.1016/j.matcom.2024.12.028","DOIUrl":"10.1016/j.matcom.2024.12.028","url":null,"abstract":"<div><div>In this study, we propose a tumour-immune interaction model using Caputo–Fabrizio fractional order derivative. The conditions for the well-posedness of the solution are examined. The stability of the endemic equilibrium point is derived and its stability is proved using Routh–Hurwitz criteria. The solution is approximated using a shifted Legendre polynomial at Gauss–Legendre collocation points, which is compared with the numerical results of the Adams–Bashforth scheme in the interval <span><math><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo></mrow></math></span>. We have also proposed a fractional optimal control problem and proved the necessary optimality conditions. The optimal system is solved using the forward–backward sweep method (FBSM) with the Adams–Bashforth predictor–corrector numerical method. We have demonstrated that the antigenicity of tumours plays a crucial role in activating immune cells, suggesting that enhancing tumour antigenicity could improve immunotherapeutic outcomes. The effects of fractional-order derivatives and the proliferation rate of the Michaelis–Menten term are observed. Moreover, the impact of other model parameters on the system is highlighted through numerical results. Finally, the reduction in tumour cells and the increase of active immune cells are demonstrated in the presence of optimal control.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"233 ","pages":"Pages 187-207"},"PeriodicalIF":4.4,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143226660","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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News of IMACS IMACS新闻

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-28 DOI: 10.1016/S0378-4754(25)00027-8

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Influence of price elasticity of demand on monopoly games under different returns to scale 不同规模收益下需求价格弹性对垄断博弈的影响

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-28 DOI: 10.1016/j.matcom.2025.01.017

Xiaoliang Li , Jing Yang , Ally Quan Zhang

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IMACS Calendar of Events IMACS事件日历

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-28 DOI: 10.1016/S0378-4754(25)00028-X

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Asymptotic expansions beyond the tQSSA for the double phosphorylation mechanism 双磷酸化机制的tQSSA渐近扩展

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-27 DOI: 10.1016/j.matcom.2025.01.019

Alberto M. Bersani , Alessandro Borri , Giovanna Tomassetti , Pierluigi Vellucci

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A nonconservative macroscopic traffic flow model in a two-dimensional urban-porous city 二维多孔城市的非保守宏观交通流模型

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-01-25 DOI: 10.1016/j.matcom.2025.01.016

Néstor García-Chan , Lino J. Alvarez-Vázquez , Aurea Martínez , Miguel E. Vázquez-Méndez

{"title":"A nonconservative macroscopic traffic flow model in a two-dimensional urban-porous city","authors":"Néstor García-Chan , Lino J. Alvarez-Vázquez , Aurea Martínez , Miguel E. Vázquez-Méndez","doi":"10.1016/j.matcom.2025.01.016","DOIUrl":"10.1016/j.matcom.2025.01.016","url":null,"abstract":"<div><div>In this paper we propose a novel traffic flow model based on understanding the city as a porous media, this is, streets and building-blocks characterizing the urban landscape are seen now as the fluid-phase and the solid-phase of a porous media, respectively. Moreover, based in the interchange of mass in the porous media models, we can model the interchange of cars between streets and off-street parking-spaces. Therefore, our model is not a standard conservation law, being formulated as the coupling of a non-stationary convection–diffusion–reaction PDE with a Darcy–Brinkman–Forchheimer PDE system. To solve this model, the classical Galerkin <span><math><msub><mrow><mi>P</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span> finite element method combined with an explicit time marching scheme of strong stability preserving type was enough to stabilize our numerical solutions. Numerical experiences on an urban-porous domain inspired by the city of Guadalajara (Mexico) allow us to simulate the influence of the porosity terms on the traffic speed, the traffic flow at rush-valley hours, and traffic congestion due to the lack of parking spaces.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"233 ","pages":"Pages 60-74"},"PeriodicalIF":4.4,"publicationDate":"2025-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143226664","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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