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Modelling mosquito population suppression based on delay differential equations

庾建设 教授(广州大学)
Monday, April 1st, 2019, 3:30 PM  闵行数学楼126室
庾建设,教授,博士生导师,国家有突出贡献的中青年专家,国家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《J. Diff. Equ.》、《SIAM J. Appl. Math.》、《J. Math. Biology》、《中国科学》等国际著名学术期刊发表论文100余篇。先后主持包括3项重点项目在内的10多项国家自然科学基金项目,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。

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. 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. 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.

主持人: 傅显隆 教授
主办单位:数学科学学院 科技处
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