FINITE ELEMENT ANALYSIS OF THE NONLOCAL DIFFUSION EFFECT IN A TWO-SPECIES CHEMOTAXIS SYSTEM

被引：2

作者：

Annamalai, Baskar ^{[1
]}

Venugopal, Parthiban ^{[1
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Chennai Chennai Camp, India

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年

关键词：

Two-species chemotaxis; boundedness; global existence; numerical simulation; GLOBAL EXISTENCE; BOUNDEDNESS; CONSUMPTION; STABILIZATION; CHEMOATTRACTANT; SENSITIVITY; MODEL;

D O I：

10.3934/dcdss.2024164

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This research delves into the analysis of the boundness solution for a two-species chemotaxis system with nonlocal diffusion. Initially, the twospecies chemotaxis (TSC) system is represented by a set of partial differential equations with Neumann boundary conditions. Based on the assumptions, necessary and sufficient conditions are derived for ensuring the unique global bounded solution of the proposed TSC system under nonlocal diffusion. In this study, the proposed system's boundness conditions are also derived for two different cases. Finally, we present the numerical simulation results based on system parameter values, demonstrating the effectiveness of the nonlocal diffusion in the TSC system.

引用

页数：20

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