Modeling Wolbachia infection frequency in mosquito populations via a continuous periodic switching model

被引：2

作者：

Shi, Yantao ^{[1
]}

Zheng, Bo ^{[1
]}

机构：

[1] Guangzhou Univ, Coll Math & Informat Sci, Guangzhou Ctr Appl Math, Guangzhou 510006, Peoples R China

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2023年 / 12卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Wolbachia infection frequency; periodic solutions; periodic switching model; existence and stability; BOUNDARY-VALUE PROBLEM; CYTOPLASMIC INCOMPATIBILITY; SHORTENING WOLBACHIA; AEDES-ALBOPICTUS; DENGUE; DYNAMICS; SPREAD; INVASION; ESTABLISHMENT; EXISTENCE;

D O I：

10.1515/anona-2022-0297

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we develop a continuous periodic switching model depicting Wolbachia infection frequency dynamics in mosquito populations by releasing Wolbachia-infected mosquitoes, which is different from the discrete modeling efforts in the literature. We obtain sufficient conditions on the existence of a unique and exactly two periodic solutions and analyze the stability of each periodic solution, respectively. We also provide a brief discussion and several numerical examples to illustrate our theoretical results.

引用

页数：17

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