报告题目: Dynamics of population models with patch structure

报告人：陈珊珊 教授 哈尔滨工业大学（威海）

邀请人：李善兵副教授

报告时间：2022年03月28日（周一）9：00-10：00

报告地点：腾讯会议:626-827-785

报告人简介：陈珊珊，哈尔滨工业大学（威海）教授，主要研究方向是微分方程的分支理论及其在生物数学上的应用，目前已在CVPDE，SIAP，JDE等SCI杂志发表论文30余篇。主持及完成国家自然科学基金青年和面上项目共3项。

报告摘要：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.

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