Evolution of Dispersal in Advective Patchy Environments


主讲人:吴毅湘 中田纳西州立大学助理教授


地点:腾讯会议 478 127 447


主讲人介绍:吴毅湘,于2010年在中南大学获得理学学士学位,于2015年在美国路易斯安那大学获得理学博士学位。2015年7月至2016年8月在加拿大西安大略大学从事博士后研究。2016年9月至2019年7月,任美国范德堡大学助理教授。2019年8月,任美国中田纳西州立大学助理教授。研究兴趣主要是反应扩散方程和生物数学, 已在Nonlinearity、SIAM Appl. Math、J. Math Biol、J. Differential Equations等国际数学杂志上发表论文20余篇。

内容介绍: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.