Regular traveling waves for a reaction-diffusion equation with two nonlocal delays

Electronic Journal of Differential Equations

article

Haiqin Zhao¹  Shi-Liang Wu¹ 

[1] School of Mathematics and Statistics Xidian University Xian

关键词: Regular traveling fronts;    reaction-diffusion equation;    nonlocal delay;    uniqueness;    stability;   

DOI  :  10.58997/ejde.2022.82

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

This article concerns regular traveling waves of a reaction-diffusion equation with two nonlocal delays arising from the study of a single species with immature and mature stages and different ages at reproduction. Establishing a necessary condition on the regular traveling waves, we prove the uniqueness of noncritical regular traveling waves, regardless of being monotone or not. Under a quasi-monotone assumption and among other things, we further show that all noncritical monotone traveling waves are exponentially stable, by establishing two comparison theorems and constructing an auxiliary lower equation.

【 授权许可】

CC BY