Modeling Wolbachia infection frequency in mosquito populations via a continuous periodic switching model
- Resource Type
- article
- Authors
- Shi Yantao; Zheng Bo
- Source
- Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 748-751 (2023)
- Subject
- wolbachia infection frequency
periodic solutions
periodic switching model
existence and stability
34k13
34k20
34k45
92d25
92d40
Analysis
QA299.6-433
- Language
- English
- ISSN
- 2191-950X
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.