报告人: Prof. Xingfu Zou
讲座日期：2019-11-25
讲座时间：9:00
报告地点：长安校区 文津楼数学与信息科学学院学术交流厅
主办单位：数学与信息科学学院
讲座人简介：
Xingfu Zou，加拿大西安大略大学（University of Western Ontario，简称为UWO或Western）应用数学系，教授，博士生导师。于1996年12月在加拿大约克大学数学统计系获博士学位。研究兴趣致力于应用微分方程（常微、时滞微、偏微），应用动力系统，生物数学等；担任多家著名期刊（International Journal of Differential Equations，Journal of Computational and Applied Mathematics，Differential Equations and Dynamical Systems，Applicable Analysis等）编委，为50多家期刊审过稿，迄今为止，共发表学术论文上百篇，其中获得美国《数学评论》检索100多篇，引用2000多次，最高单篇引用次数200多次；Google Scholar检索引用5000 多次（近五年2000多次）；最高单篇引用次数400多次，H指标39。2014年获匈牙利政府John von Neumann International Researcher (senior) Scholarship等奖项。
讲座简介：
In this talk, I will present a very general model of impulsive delay differential equations in $n-patches$ that describes the impulsive eradication of population of a single species 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.
