报告题目: Effect of impulsive culling on an age-structured pest population over a patchy environment

报告时间：2020年11月20日（周五）上午 8：30-10：30（北京时间）

腾讯会议：484 892 382， 密码: 1120

报告人： 邹幸福教授，加拿大西安大略大学

报告摘要：

In this talk, I will present a very general model of impulsive delay differential equations in n-patches that describes the impulsive culling of pest population over n-patches. The model allows an age structure consisting of immatures and matures, and also includes mobility and culling of both matures and immatures. Conditions are obtained for extinction and persistence of the model system under three special scenarios: (i) without impulsive control; (ii) with impulsive culling of the immatures only; and (iii) with impulsive culling of the matures only, respectively. In the case of persistence, the persistence level is also estimated for the systems in the case of identical n patches, by relating the issue to the dynamics of multi-dimensional maps. Two illustrative examples and their numerical simulations are given to show the feasibility and effectiveness of the results. Based on the theoretical results, some strategies of impulsive culling are provided for eradicating the population of a pest species.

报告人简介：

    邹幸福教授分别在中山大学，湖南大学和约克大学（York University， Canada）获得学士，硕士和博士学位，并在维多利亚大学（University of Victoria, Canada）和佐治亚理工(Georgia Institute of Technology, USA) 从事过博士后研究工作。曾任教于加拿大纽芬兰纪念大学（Memorial University of Newfoundland, Cananda）, 现为加拿大西安大略大学（University of Western Ontario）应用数学系的教授。研究兴趣为微分方程和动力系统的理论及应用，特别是反应扩散方程、常泛函微分方程及偏泛函微分方程及其在生物领域的应用。