报告题目：Modelling Mosquito Population Suppression Based on Delay
Differential Equations
报告人：广州大学庾建设教授
地点：四川大学数学学院西303
时间：2018年9月7日（本周五）早上10:00-11:00
摘要：Mosquito-borne diseases have threatened over half the world’s human beings. The most conventional methods for the control of these diseases have been insecticide spraying or larval source eradication. These methods are not sustainable to keep the mosquito density below the epidemic risk threshold. More recently, a novel strategy to suppress the mosquito population has been implemented in Saizi island, Guangzhou, China, since 2015. More than 95% of local population of Aedes Albopictus have been suppressed by releasing Wolbachia-infected male mosquitoes into natural mosquito population to induce cytoplasmic incompatibility (CI) that eggs of wild females fail to hatch if fertilized by sperm from an infected male. In this paper, we propose to model the mosquito population suppression with the help of a delay differential equation model describing the suppression effect by releasing Wolbachia-infected male mosquitoes in the field. We first give a detailed and complete description of the global dynamics of solutions of the delay differential equation. And then, our results determine the release number threshold denoted by r* for the mosquito suppression. When the number of infected male mosquitoes released is above r*, it will guarantee the suppression effect in any circumstances, whereas when the release number is less than or equal to r*, it can only guarantee the suppression effect conditionally. Once some useful parameters are measured, we can calculate the release number threshold r* which is helpful for the actual workers to release infected male mosquitoes in the field.
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