带有阿利效应的趋化-生长模型的游波

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2024-11-06 DOI:10.1016/j.jde.2024.10.040

Qi Qiao , Xiang Zhang

引用次数: 0

摘要

对于化学物质的趋化敏感性和扩散系数都很小的具有阿利效应的趋化-生长模型，我们证明了波速较慢的正向行波的存在性及其不稳定性和随系统参数选择而移动的渐进稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Traveling waves to a chemotaxis-growth model with Allee effect

For a chemotaxis-growth model with Allee effect, whose chemotactic sensitivity and diffusion coefficient of the chemical substance are both small, we prove existence of the positive traveling waves with slow wave speeds and their unstability and asymptotic stability with shift depending on the choice of the parameters of the system.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics