報(bào)告承辦單位: 數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容: Effect of impulsive controls in a model system for age-structured population over a patchy environment
報(bào)告人姓名:鄒幸福
報(bào)告人所在單位: 加拿大西安大略大學(xué)
報(bào)告人職稱(chēng)/職務(wù)及學(xué)術(shù)頭銜: 教授，博導(dǎo)
報(bào)告時(shí)間: 2018年10月22日 周一下午4:30
報(bào)告地點(diǎn): 理科樓A419
報(bào)告人簡(jiǎn)介: 鄒幸福教授于1983年和1989年在中山大學(xué)數(shù)學(xué)系和湖南大學(xué)數(shù)學(xué)系分別獲學(xué)士和碩士學(xué)位。1996年在加拿大約克大學(xué)博士畢業(yè)并獲理學(xué)博士學(xué)位之后分別在加拿大維多利亞大學(xué)和美國(guó)喬治亞理工學(xué)院動(dòng)力系統(tǒng)與非線(xiàn)性研究中心做博士后。1999年1月至2004年1月在加拿大紐芬蘭紀(jì)念大學(xué)先后教授教授(終身教職),自2004年開(kāi)始在加拿大西安大略大學(xué)應(yīng)用數(shù)學(xué)系教授(終身教職),2012年入選湖南省百人計(jì)劃專(zhuān)家并在中南大學(xué)擔(dān)教授, 在泛函微分方程與應(yīng)用動(dòng)力系統(tǒng)研究領(lǐng)域取得了一系列有影響的創(chuàng)新成果在J.Dif.Eqns. SIAM J.Appl.Math., SIAM J.Math.Anal.等著名雜志發(fā)表有影響的研究論文一百多篇，擔(dān)任Applicable Analysis, Journal of Computational and Applied Mathematics, Communications on Pure and Applied Analysis等SCI收錄雜志的編委, 曾獲加拿大國(guó)家自然科學(xué)和工博土后獎(jiǎng), Petro-Canada青年研究創(chuàng)新獎(jiǎng), 安大略省長(zhǎng)杰出研究獎(jiǎng)。
報(bào)告摘要：In this talk, I will present a very general model of impulsive delay differential equations in $n-patches$ that describe the impulsive control of population of a single species over $n-$patches. The model has an age structure consisting of immatures and matures, and also considers 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 effectiveness of the results. Based on the theoretical results, some strategies of impulsive culling are provided to eradicate the population of a pest species.
