Dynamics of Two Reaction-Diffusion Population Models
讲座名称：
Dynamics of Two Reaction-Diffusion Population Models
讲座时间：
2019-07-08
讲座人：
Chen Yuming
形式：
校区：
兴庆校区
实践学分：
讲座内容：
报告题目：Dynamics of Two Reaction-Diffusion Population Models
报告时间：2019年7月8日，星期一，下午 15:00-16:00，2019-7-8
报告地点：数学楼2-3会议室
报告人: Prof. Chen Yuming, Wilfrid Laurier University
Abstract:
In this talk, we consider two reaction-diffusion population models. The first is about the growth of a species in shifting habitats due to unbalanced resources. We study some nonlinear propagation phenomena. Depending on the size of the shifting speed relative to the minimum traveling wave speeds of the limiting systems at both negative and positive infinities, there are three scenarios: 1) The limiting systems at both negative and positive infinities control the propagation characteristics; 2) the travelling wave speed of the limiting resource-rich system affects the asymptotic propagation properties of solutions; 3) very large speed of resource movement will weaken the control of the limiting resource-rich system on the persistence or upward convergence of the asymptotic propagation of solutions. The second model describes a single species with different mature-immature habitats accounting for a scenario where the boundaries are hostile to the species. We obtain threshold results under the supremum norm, which are greatly different from the existing ones on other evolution equations in unbounded domains or the whole space. The results are obtained by employing new domain decomposition methods and dynamical system approaches. They are also applied to two examples with the Ricker birth function and with the Mackey-Glass birth function.
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