演讲人: 苏颖副教授，哈尔滨工业大学

讲座时间: 8月28日10-10：50

讲座地点: 环境学院316

讲座内容:

题目: Spatially inhomogeneous periodic solutions for some diffusive population models with time delay.

摘要: In this talk, we will show the existence and stability of the spatially inhomogeneous periodic solutions for some diffusive population models subject to Dirichlet or Neumann boundary conditions. For the Dirichlet boundary condition problem, we demonstrate that the spatially inhomogeneous periodic solutions can be bifurcated from the positive steady state for both Logistic and weak Allee type population models. For a special Logistic type model, such bifurcated periodic solutions are shown to be persistent when the parameter is far away from the bifurcation values. For the Neumann boundary condition problem, we establish the existence of various spatially inhomogeneous periodic solutions for the diffusive Nicholson’s blowflies population model. Such periodic solutions are numerically observable in a relatively long time period although they are not stable. This talk is mainly based on some joint works with Junping Shi, Junjie Wei and Xingfu Zou.

演讲人：方健教授，巴黎6大和哈尔滨工业大学

讲座时间：8月28日11-11：50

讲座地点：环境学院316 讲座内容：

题目：Existence of traveling waves for bistable monotone semiflows

摘要：In this talk, I will first briefly recall some results on the existence of traveling waves connecting two stable states for reaction diffusion equations and their analogues. Such an existence result is then established for a class of evolution systems from a monotone dynamical system point of view. Finally, the obtained results are illustrated by some models that might arise from population ecology. This talk is mainly based on a joint work with Xiaoqiang Zhao.

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