Global stability of traveling wave fronts for a population dynamics model with quiescent stage and delay

被引：0

作者：

Zhou, Yonghui ^{[1
,2
,3
]}

Ji, Shuguan ^{[2
,3
]}

机构：

[1] Hexi Univ, Sch Math & Stat, Zhangye 734000, Peoples R China

[2] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[3] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2022年 / 15卷 / 05期

关键词：

Stability; traveling wave fronts; weighted energy method; comparison principle; NICHOLSONS BLOWFLIES EQUATION; EXPONENTIAL STABILITY; DIFFUSION EQUATIONS; EXISTENCE; SYSTEM;

D O I：

10.1142/S1793524522500206

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper is concerned with the globally exponential stability of traveling wave fronts for a class of population dynamics model with quiescent stage and delay. First, we establish the comparison principle of solutions for the population dynamics model. Then, by the weighted energy method combining comparison principle, the globally exponential stability of traveling wave fronts of the population dynamics model under the quasi-monotonicity conditions is established, which extends the results of nonlocal scalar equations to the system.

引用

页数：14

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