報告人: Prof. Xingfu Zou

講座日期：2019-11-25

講座時間：9:00

報告地點：長安校區(qū) 文津樓數(shù)學(xué)與信息科學(xué)學(xué)院學(xué)術(shù)交流廳

主辦單位：數(shù)學(xué)與信息科學(xué)學(xué)院

講座人簡介：

Xingfu Zou，加拿大西安大略大學(xué)（University of Western Ontario，簡稱為UWO或Western）應(yīng)用數(shù)學(xué)系，教授，博士生導(dǎo)師。于1996年12月在加拿大約克大學(xué)數(shù)學(xué)統(tǒng)計系獲博士學(xué)位。研究興趣致力于應(yīng)用微分方程（常微、時滯微、偏微），應(yīng)用動力系統(tǒng)，生物數(shù)學(xué)等；擔(dān)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）編委，為50多家期刊審過稿，迄今為止，共發(fā)表學(xué)術(shù)論文上百篇，其中獲得美國《數(shù)學(xué)評論》檢索100多篇，引用2000多次，最高單篇引用次數(shù)200多次；Google Scholar檢索引用5000 多次（近五年2000多次）；最高單篇引用次數(shù)400多次，H指標39。2014年獲匈牙利政府John von Neumann International Researcher (senior) Scholarship等獎項。

講座簡介：

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.