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
收藏
页数：17
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