Existence and stability of periodic solutions in a mosquito population suppression model with time delay

被引：45

作者：

Zheng, Bo ^{[1
,2
]}

Li, Jia ^{[3
]}

Yu, Jianshe ^{[1
,2
]}

机构：

[1] Guangzhou Ctr Appl Math, Guangzhou, Peoples R China

[2] Guangzhou Univ, Coll Math & Informat Sci, Guangzhou 510006, Peoples R China

[3] Univ Alabama, Dept Math Sci, Huntsville, AL 35899 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2022年 / 315卷

基金：

中国国家自然科学基金;

关键词：

Wolbachia; Mosquito population suppression; Periodic solution; Existence and stability; Time delay; CYTOPLASMIC INCOMPATIBILITY; DIFFERENTIAL EQUATIONS; AEDES-ALBOPICTUS; WOLBACHIA SPREAD; STRUCTURED MODEL; BIRTH-PULSE; DENGUE; DYNAMICS; ESTABLISHMENT; INVASION;

D O I：

10.1016/j.jde.2022.01.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By including the maturation period tau of wild mosquitoes, we develop a delay differential equation model to study the suppression of wild mosquito population by releasing Wolbachia-infected male mosquitoes with a release period T = tau/m, where m is a positive integer. We obtain sufficient conditions for nonexistence of periodic solutions and existence of a unique or exactly two periodic solutions by taking the initial function as a solution to the delay-free model. We prove the global asymptotic stability of the unique periodic solution, and that one periodic solution is stable and the other is unstable when there are two periodic solutions. (c) 2022 Elsevier Inc. All rights reserved.

引用

页码：159 / 178

页数：20

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