时间：2019年11月19日下午2:30（若学院召开大会则顺延到大会后举行）
地点：北2-501
主题：A stage structured model of delay differential equations for suppressing mosquito population
报告摘要：Tremendous efforts have been devoted to the development and analysis of mathematical models to assess the effcacy of the endosymbiotic bacterium Wolbachia in the control of infectious diseases such as dengue and Zika, and their transmission vector Aedes mosquitoes. However, the larval stage has not been included in most models, which causes an inconvenience in testing directly the density restriction on population growth. In this work, we introduce a system of delay dierential equations, including both the adult and larval stages of wild mosquitoes, interfered by Wolbachia infected males that can cause complete female sterility. We clarify its global dynamics rather completely by using delicate analyses, including a construction of Liapunov-type functions, and determine the threshold level R0 of infected male releasing.
The wild population is suppressed completely if the releasing level exceeds R0 uniformly. The dynamical complexity revealed by our analysis, such as bistability and semistability, is further exhibited through numerical examples. Our model generates a temporal profile that captures several critical features of Aedes albopictus population in Guangzhou from 2011 to 2016. Our estimate for optimal mosquito control suggests that the most cost-effcient releasing should be started no less than 7 weeks before the peak dengue season.
报告人:黄木根，广东财经大学统计与数学学院讲师，研究领域为微分方程。