REGULAR TRAVELING WAVES FOR A REACTION-DIFFUSION EQUATION WITH TWO NONLOCAL DELAYS

被引：0

作者：

Zhao, Haiqin ^{[1
]}

Wu, Shi-liang ^{[1
]}

机构：

[1] Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 2022卷 / 82期

关键词：

Regular traveling fronts; reaction-diffusion equation; nonlocal delay; uniqueness; stability; NICHOLSONS BLOWFLIES EQUATION; ASYMPTOTIC STABILITY; UNIQUENESS; FRONTS; EXISTENCE; DYNAMICS; MODEL;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：16

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