报告题目：Dynamics of Population Models with Patch Structure

主 讲 人：陈珊珊

单 位：哈尔滨工业大学(威海)

时 间：11月29日14:30

腾 讯 ID：778-398-687

密 码：123456

摘 要：

In this talk, I will first consider a single species population model over patches with delay and nonlocal interactions, for which no symmetry for the dispersion (connection) matrix is assumed. We show that there exists a positive equilibrium when the dispersal rate is large. We also discuss the stability/instability of this positive equilibrium, establish the threshold dynamics and explore the associated Hopf bifurcation. Then we consider a two species Lotka-Volterra competition model. The global dynamics of the model with asymmetric dispersal is classified under the assumptions of weak competition and the weighted digraph of the connection matrix is strongly connected and cycle-balanced.

简 介：

陈珊珊，博士，哈尔滨工业大学（威海）副教授，博士生导师。主要从事时滞反应扩散方程的分支理论及其应用等方面的研究。目前在CVPDE，JDE，JMB等SCI杂志上发表学术论文30余篇，主持及主持完成国家自然科学基金项目3项。