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Evolution of Dispersal in Advective Patchy Environments

發(fā)布者:文明辦發(fā)布時(shí)間:2022-09-08瀏覽次數(shù):646


主講人:吳毅湘 中田納西州立大學(xué)助理教授


時(shí)間:2022年9月12日9:00


地點(diǎn):騰訊會(huì)議 478 127 447


舉辦單位:數(shù)理學(xué)院


主講人介紹:吳毅湘,于2010年在中南大學(xué)獲得理學(xué)學(xué)士學(xué)位,于2015年在美國(guó)路易斯安那大學(xué)獲得理學(xué)博士學(xué)位。2015年7月至2016年8月在加拿大西安大略大學(xué)從事博士后研究。2016年9月至2019年7月,任美國(guó)范德堡大學(xué)助理教授。2019年8月,任美國(guó)中田納西州立大學(xué)助理教授。研究興趣主要是反應(yīng)擴(kuò)散方程和生物數(shù)學(xué), 已在Nonlinearity、SIAM Appl. Math、J. Math Biol、J. Differential Equations等國(guó)際數(shù)學(xué)雜志上發(fā)表論文20余篇。


內(nèi)容介紹:We study a two-species competition model in a patchy advective environment, where the species are subject to both directional drift and undirectional random dispersal between patches and there are losses of individuals in the downstream end (e.g., due to the flow into a lake or ocean). The two competing species are assumed to have the same growth rates but different advection and random dispersal rates. We focus our studies on the properties of an associated eigenvalue problem which characterizes the extinction/persistence dynamics of the underlying patch population model. We also derive conditions on the advection and random dispersal rates under which a mutating species can or cannot invade the resident species.