Global dynamics of a Lotka-Volterra competition patch model

讲座时间 Datetime: 2022年7月9日，星期六，15:00-16:30

地点 Venue: 腾讯线上会议：232639259

主持人 Host：唐德

报告人 Speaker: 陈珊珊

单位 Affiliation:哈尔滨工业大学（威海）

报告摘要 Abstract:

In this talk, we first show the global dynamics of a two-species Lotka-Volterra competition patch model.  We assume that the weighted digraph of the connection matrix is strongly connected and cycle-balanced. It is shown that in the long time, either the competition exclusion holds that one species becomes extinct, or the two species reach a coexistence equilibrium, and the outcome of the competition is determined by the strength of the inter-specific competition and the dispersal rates. Then we consider the  two-species Lotka-Volterra model in a patchy advective environment.  We treat one species as the resident species and the other one as a mutant/invading species and study whether the resident species can be invaded for three types of boundary conditions in the downstream end. We also obtain the global dynamics of the model for certain parameter ranges.   This talk is based on joint works with Junping Shi, Zhisheng Shuai, Yixiang Wu and Jie Liu.