Wolbachia dynamics in mosquitoes with incomplete CI and imperfect maternal transmission by a DDE system

讲座时间 Datetime: 2022年7月5日，星期二， 21:00-22:30

地点 Venue:腾讯线上会议：901897531

主持人 Host：唐德

报告人 Speaker: 邹幸福   

单位 Affiliation:加拿大西安大略大学

报告摘要 Abstract:

In this talk, I will present a  delay differential equation model to describe Wolbachia infection dynamics in  mosquitoes in which the key factor of cytoplasmic incompactibility (CI) is incorporated  in a more natural way than those in the literature.  By analyzing the dynamics of the model, we obtain some information  on the impact of four important  parameters:   the competition capabilities  of the wild  mosquitoes  and infected mosquitoes, the maternal  transmission level and  the CI level.  The analytic results show that there are ranges of parameters that support competition exclusion principle, and there are also ranges of parameters that  allow co-persistence for both  wild and infected  mosquitoes. These ranges account for the scenarios of failure of invasion, invasion and suppressing the wild mosquitoes, and invasion and replacing the wild mosquitoes. We also discuss some possible future problems both in mathematics and in modelling.