Coexistence of strains in some reaction-diffusion systems

發(fā)布者:文明辦發(fā)布時(shí)間:2023-09-20瀏覽次數(shù):409


主講人:樓元 上海交通大學(xué)教授


時(shí)間:2023年9月21日15:30


地點(diǎn):三號(hào)樓332室


舉辦單位:數(shù)理學(xué)院


主講人介紹:樓元,1984-1991年就讀于北京大學(xué)數(shù)學(xué)系,獲學(xué)士和碩士學(xué)位。1991-1995年就讀于美國(guó)明尼蘇達(dá)大學(xué)數(shù)學(xué)系并獲博士學(xué)位。曾在MSRI(1995-96年)和芝加哥大學(xué)(1996-98年)做博士后,1998-2021年任教于俄亥俄州立大學(xué)數(shù)學(xué)系,2009-2013任美國(guó)數(shù)學(xué)生物研究所副所長(zhǎng),2022年起任上海交通大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授。其研究興趣是反應(yīng)擴(kuò)散方程及在生物學(xué)中的應(yīng)用,發(fā)表學(xué)術(shù)論文140余篇,目前擔(dān)任J. Differential Equations、J. Math. Biol.、SIAM J. Appl. Math.等期刊編委以及DCDS-B的共同主編。


內(nèi)容介紹:We study the global dynamics of some reaction-diffusion systems for multiple strains and investigate how the coexistence of strains is impacted by the movement of populations and spatial heterogeneity of the environment. For the case of two strains, general conditions for the existence, uniqueness and stability of coexistence steady states are found. Surprisingly, when there is no coexistence of strains, it is possible for the ``weak strain to be dominant for intermediate diffusion rates, in strong contrast to small and large diffusion cases where the ``weak strain goes extinct. This talk is based on joint work with Rachidi Salako.