Uniform asymptotic behavior of numerical solutions for a predator-prey system with diffusion and chemotaxis

R. Dager; V. Navarro; M. Negreanu; A.M. Vargas

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Uniform asymptotic behavior of numerical solutions for a predator-prey system with diffusion and chemotaxis

机译：扩散和趋化性捕食者猎物系统数值解的均匀渐近行为

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摘要

In this paper the meshless numerical method known as Generalized Finite Difference Method is used to analyze a novel predator-prey type model consisting of a non-linear system of two parabolic and an ordinary differential equations with chemotactic terms. This model is useful to describe the dynamics of certain predator-prey systems. The conditional convergence of the numerical method is proved and it is shown that this approach makes it possible to observe the asymptotic behavior of the solutions in accordance with the analytical results. Several examples are given to illustrate the potential of the method.

机译：在本文中，已知是广义有限差分方法的无网格数值方法用于分析一种新的捕食者 - 猎物型模型，其由具有趋化术语的两种抛物线和常微分方程的非线性系统组成。该模型可用于描述某些捕食者猎物系统的动态。证明了数值方法的条件收敛性，并表明该方法使得可以根据分析结果观察解决方案的渐近行为。给出了几个例子来说明方法的潜力。

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来源
《Engineering analysis with boundary elements》 |2020年第11期|82-94|共13页
作者
R. Dager; V. Navarro; M. Negreanu; A.M. Vargas;
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作者单位

Departamento de Matemitica Aplicada Universidad Politecnica de Madrid Madrid 28040 Spain;

Departamento de Analisis Matemdtico y Matematica Aplicada Universidad Complutense de Madrid Madrid 28040 Spain;

Departamento de Analisis Matemdtico y Matematica Aplicada Universidad Complutense de Madrid Madrid 28040 Spain;

Departamento de Analisis Matemdtico y Matematica Aplicada Universidad Complutense de Madrid Madrid 28040 Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Predator-prey models; Chemotaxis; Generalized finite difference method;

机译：捕食者 - 猎物模型;趋化性;广义有限差分法;

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1. Global existence and asymptotic behavior of solutions to a Predator-Prey chemotaxis system with two chemicals [J] . Negreanu M., Tello J. I. Journal of Mathematical Analysis and Applications . 2019,第2期

机译：两种化学品捕食者 - 猎物趋化性系统解决方案的全球存在与渐近行为
2. Asymptotic behavior of solutions for a class of predator-prey reaction-diffusion systems with time delays [J] . Wang YM Journal of Mathematical Analysis and Applications . 2007,第1期

机译：一类时滞捕食-被捕食反应扩散系统的解的渐近性质。
3. Asymptotical Wave Speed and Monotone Property ofTraveling Wave Solution for a Two-Species Ratio-Dependent Predator-Prey System with Free Diffusion andDiscrete Delay [J] . Zhihao Ge, Qingjie Hu, Suna Ma British Journal of Mathematics Computer Science . 2013,第4期

机译：具有自由扩散和离散时滞的两种比率比率捕食-被捕食系统的渐近波速和行波解的单调性质
4. Numerical Solution and Asymptotic Behavior for a Nonlocal Reaction-diffusion Coupled Systems [C] . Pius W. M. Chin International Conference of Numerical Analysis and Applied Mathematics . 2017

机译：非识别反应扩散耦合系统的数值溶液和渐近行为
5. Global Existence and Asymptotic Behavior of the Solutions to Models for Chemotaxis Systems with Chemo Attractants and Repellents [D] . Lagha, Aesha. 2020

机译：用化疗和呼吸器的趋化性系统模型解决方案的全球存在和渐近行为
6. Existence and asymptotic behavior of solutions for nonlinear Schrödinger-Poisson systems with steep potential well [O] . Miao Du, a), Lixin Tian, -1

机译：具有陡势阱的非线性Schrödinger-Poisson系统解的存在性和渐近性
7. Uniform boundedness of solutions for a predator-prey system with diffusion and chemotaxis [O] . René Dáger, Víctor Navarro, Mihaela Negreanu 2020

机译：具有扩散和趋化性的捕食者 - 猎物系统均匀界限

Uniform asymptotic behavior of numerical solutions for a predator-prey system with diffusion and chemotaxis

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