Bistable waves in a partially degenerate model for mosquito population suppression via Wolbachia bacteria
Xilin Deng
Harbin Institute of Technology, Chine
Date(s) : 12/11/2024 iCal
11h00 - 12h00
A great deal of effort has been dedicated to developing and analyzing mathematical models to evaluate the effectiveness of the endosymbiotic bacterium Wolbachia in controlling infectious diseases such as dengue and Zika, and in managing their transmission vector, the Aedes mosquito. In this talk, I will introduce a partial degeneration reaction-diffusion system with time-delay to study the population dynamics of wild mosquitoes under suppression strategies via Wolbachia, where diffusion only occurs in adult mosquitoes. I will show the existence of bistable traveling waves and the large-time behavior of the corresponding Cauchy problem. Additionally, I will show two releasing strategies of Wolbachia-infected males to control the wild mosquito population. This talk is based on a joint work with Professor Jian Fang.
Emplacement
Saint-Charles - FRUMAM (2ème étage)
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