应304am永利集团官网王智诚教授和张亮教授的邀请，哈尔滨师范大学数学科学学院王金凤教授将于2023年11月29日-12月1日访问兰州大学，期间于11月30日举办线上专题学术报告。

报告题目：Invasion Dynamics of Predator-Prey Systems in Closed Advective Environments

时 间：11月30日14:30.

地 点：腾讯会议807-511-446

报告摘要：This talk is devoted to the study of population dynamics of a general predator-prey system in closed advective environments, where the effective advection rate of each species is proportional to its diffusion rate. For such a class of systems, we provide clear pictures on the dynamical behaviors in terms of the spontaneous death rate $c$ of predators and diffusion rates $d_1$ and $d_2$ by using the monotonicity of the principal eigenvalue, and then present global results on the persistence/extinction of both species on the $c-d_2$ plane or the $d_1-d_2$ plane by appealing to the theory of uniform persistence and the comparison principle. In contrast to non-advective environments, the invasion of predators depends heavily on diffusion rates and advection rates. Further, we establish the global stability of a unique positive equilibrium for a special predator-prey interaction by constructing a spatial Lyapunov function.

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报告人简介

王金凤，哈尔滨师范大学数学科学学院教授，博士生导师，黑龙江省高校青年学术骨干，黑龙江省数学会常务理事。一直致力于反应扩散方程及其在生态学中的应用的研究，在JDE,JDDE,JMB,M3AS,ZAMP等期刊发表相关SCI检索文章30余篇，主持完成国家自然科学基金项目2项，省自然科学基金项目3项。

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2023年11月28日