Coexistence of strains in some reaction-diffusion systems


主讲人:楼元 上海交通大学教授




主讲人介绍:楼元,1984-1991年就读于北京大学数学系,获学士和硕士学位。1991-1995年就读于美国明尼苏达大学数学系并获博士学位。曾在MSRI(1995-96年)和芝加哥大学(1996-98年)做博士后,1998-2021年任教于俄亥俄州立大学数学系,2009-2013任美国数学生物研究所副所长,2022年起任上海交通大学数学科学学院教授。其研究兴趣是反应扩散方程及在生物学中的应用,发表学术论文140余篇,目前担任J. Differential Equations、J. Math. Biol.、SIAM J. Appl. Math.等期刊编委以及DCDS-B的共同主编。

内容介绍: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.