报告题目：Dynamics of interactive wild and sterile mosquitoes with time delay

时间：2019年4月18日上午9：20

地点：汇贤楼122教室

主办单位：数学科学学院

报告摘要：

To prevent and control the spread of mosquito-borne diseases, such as malaria, dengue fever and Zika, people try to suppress mosquito 

population density by releasing sterile mosquitoes into the wild field. To investigate the impact of such releases, we develop a delay 

differential equation model for the interactive wild and sterile mosquitoes in this paper. Different from the existing modeling studies, 

we assume that only those sexually active sterile mosquitoes play a role for the interactive dynamics.We consider either the number 

of releases of the useful sterile mosquitoes stays at a constant level or varies as a presumed given function, and give complete analysis 

on the model dynamics. We establish a threshold of the releases with which the wild mosquito suppression either succeeds or fails 

provided the number of releases of sterile mosquitoes is above or below the threshold. The model exhibits rich dynamics including 

bistable, semi-stable, and global stable equilibria. We obtain conditions for the existence and stability of these equilibria, and particularly

 the necessary and sufficient conditions for the trivial equilibrium to be globally uniformly asymptotically stable. We also consider

the case where the releases of sterile mosquitoes are periodic and impulsive. Using numerical examples we illustrate the dynamical

 features of the model. Brief discussions are provided as well.

个人简介：

        庾建设，博士，教授，博士生导师，国家有突出贡献的中青年专家，国家自然科学基金杰出青年基金获得者。

1991年8月至2003年12月在湖南大学工作，1992年破格晋升为教授，1994年被聘为博士生导师，2003年12月至今在广州大学工作，

主要从事泛函微分方程、常微分方程、离散系统及生物数学的理论与应用研究，在《Journal Differential Equations》、

《SIAM Journal of Applied Mathematics》、《Journal of Mathematics Biology》、《Journal of Theoretical Biology》、

《中国科学》等国际著名学术期刊发表论文100余篇。先后主持国家自然科学基金包括3项重点项目在内的项目10多项，

主持科技部重大基础研究前期研究专项、教育部高校博士点基金等省部级基金10余项。先后获省部科技进步一等奖2项，

获国家教学成果一等奖一项。曾任第四届中国学位与研究生教育学会副会长，现任国家自然科学基金数学天元基金学术领导小组成员。