Wave fronts for a class of delayed Fisher-KPP equations

被引：0

作者：

Zhang, Jinrui ^{[1
]}

Hu, Haijun ^{[1
]}

Huang, Chuangxia ^{[1
,2
]}

机构：

[1] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China

[2] Hunan Univ Sci & Engn, Coll Sci, Yongzhou 425199, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2025年 / 163卷

基金：

中国国家自然科学基金;

关键词：

Wave front; Fisher-KPP equation; Delay; Monotone iteration; Upper-lower solution; REACTION-DIFFUSION SYSTEMS;

D O I：

10.1016/j.aml.2024.109406

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of Fisher-KPP equations with delays appearing in both diffusion and reaction terms. By employing some differential inequality analyses, we prove that the delayed Fisher-KPP equation possesses a pair of quasi-upper and quasi-lower solutions which have absolutely continuous derivatives. Based on this, we apply the monotone iteration method and the Perron's theorem to establish a sufficient criterion ensuring the existence of wave fronts. Our proof corrects the previous related research.

引用

页数：5

共 14 条

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