数学学科学术报告(庾建设 广州大学)

发布者:段玉玲   发布时间:2018-10-08  浏览次数:15

    

报告人:广州大学庾建设教授,国家杰青获得者  

题目:MODELLING MOSQUITO POPULATION SUPPRESSION BASED

ON DELAY DIFFERENTIAL EQUATIONS   

时间:1010号 星期三 10:30-----12:30

地点:20-4-第一会议室

摘要:

        Mosquito-borne diseases are threatening half of the worlds population. A novel strategy of disease control is to suppress the mosquito population by releasing male mosquitoes infected by a special strain of Wolbachia. This bacterium induces cytoplasmic incompatibility that eggs of wild females mated with released males fail to hatch. In this work, we introduce a model of delay differential equations to initiate a study on the mosquito suppression dynamics with the compensation policy that the loss of released males is compensated by new releasing, and the constant policy that a constant amount c of infected males are released each time, T days apart. We find the exact value of the threshold releasing intensity r_ for the compensation policy, and provide a reasonably sharp estimate of the threshold constant c_ for the constant

policy. In the first case, we also show that the model displays bi-stability with two stable steady-states and one unstable steady-state when the abundance of released males R(t) 2 (0; r_). Our simulation reveals that some solutions may develop sustained oscillations with increasing magnitudes, and suggest the existence of one or more stable periodic solutions. The simulation provides a theoretical support to the observation in the Guangzhou mosquito control program that a 5:1 releasing ratio between the releasing amount and the initial wild male abundance could be an optimal option. It also indicates that the suppression efficacy is insensitive to the waiting days between

two consecutive releases. Several open mathematical questions are proposed in a hope of stimulating more extensive explorations of the dynamic complexities of the model.  

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。19918月至200312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,200312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。

  

  

  

 

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