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A stage-structured model with distributed delay for mosquito population dynamics considering climate change
时间:2023年05月12日 13:46 点击数:

报告人:朱怀平

报告地点:数学与统计学院104教室

报告时间:5月16日星期二 10:30-11:30

邀请人:范 猛

报告摘要:

Studies on the population dynamics of mosquito species play a significant role in understanding the transmission and spread of emerging and reemerging mosquito-borne diseases, such as Dengue, Malaria, West Nile virus, Zika etc. Considering the driving role of temperature on the dynamical behavior of mosquitoes at aquatic stage, in this talk, I will first introduce a general system of distributed delay differential equations which models the stage structure of mosquitoes with their lifespan divided into two stages (off the water and in the water). By defining the reproduction number $R_0$ of the general model, I will present some theoretical results for the general model, including the stability of the boundary equilibrium and the existence of the unique positive equilibrium. With two specific different types of distribution functions describing the probability of the transformation from eggs at generated to mosquitoes, I also will show some simulations performed for each system to illustrate how time delays impact on the abundance of larva and adult mosquitoes.  This is a joint work with Juan Li and Guihong Fan.

主讲人简介:

朱怀平,加拿大约克大学数学和统计系教授,约克大学应用数学首席教授,并行计算与模拟实验室和疾病建模中心主任。长期从事动力系统分支理论及其应用、希尔伯特第十六问题、种群生态学与传染病学的数学建模和应用分析等研究工作。在数学及生物数学的国际顶级或高水平期刊上累计发表文章100多篇,是动力系统分支理论和应用领域的著名专家。作为项目负责人获得加拿大国家工程和自然科学基金会(NSERC),国家创新基金(CFI),加拿大健康研究院(CIHR),加拿大公共卫生部(PHAC),以及安大略省卫生部、环境部、科技部等部委的资助。

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