Stability and Instability of Constant Stationary Solutions to Some Integro-Differential Equations for Population Dynamics

被引：0

作者：

Chen, Yuming ^{[1
]}

Vougalter, Vitali ^{[2
]}

机构：

[1] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada

[2] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

来源：

MATEMATICA | 2025年 / 4卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Reaction-diffusion equation; Stationary solution; Stability; Fourier transform; TRAVELING-WAVES;

D O I：

10.1007/s44007-025-00150-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider some reaction-diffusion equations describing systems with the nonlocal consumption of resources and the intraspecific competition. Sharp conditions on the coefficients are obtained to ensure the stability and instability of nontrivial constant stationary solutions.

引用

页码：187 / 199

页数：13

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