报告题目: On predation effort allocation strategy over two patches

报告摘要: In this talk, I will present an ODE model to describe the population dynamics of one non-dispersing prey and two dispersing predators in a two-patch environment with spatial heterogeneity. The dispersals of the predators are implicitly reflected by the allocation of their presence (foraging time) in each patch. We analyze the dynamics of the model and discuss some biological implications of the theoretical results on the dynamics of the model. In particular, we relate the results to the evolution of the allocation strategy and explore the impact of the spatial heterogeneity and the difference in fitness of the two predators on the allocation strategy. Under certain range of other parameters, we observe the existence of an evolutionarily stable strategy (ESS) while in some other ranges, the ESS disappears.  We also discuss some possible extensions of the model. Particularly, when the model is modified to allow distinct preys in the two patches, we find that the heterogeneity in predation rates and biomass transfer rates in the two patches caused by such a modification may lead to otherwise impossible bi-stability for some pairs of equilibria. This is a joint work with Dr Chang-Yuan Cheng.

报告时间：2021年6月15日（周二）上午9:00-10:00，

报告地点：线上，腾讯会议号：604543054

报告人简介：

邹幸福教授分别在中山大学，湖南大学和约克大学（York University， Canada）获得学士，硕士和博士学位，并在维多利亚大学（University of Victoria, Canada）和佐治亚理工(Georgia Institute of Technology, USA) 从事过博士后研究工作。曾任教于加拿大纽芬兰纪念大学（Memorial University of Newfoundland, Cananda）, 现为加拿大西安大略大学（University of Western Ontario）应用数学系的教授。研究兴趣为微分方程和动力系统的理论及应用，特别是反应扩散方程、常泛函微分方程及偏泛函微分方程及其在生物领域的应用。担任多个国际知名SCI刊物编委，现为SCI杂志Mathematics in Applied Sciences and Engineering的主编。在SIAM J. Appl. Math., SIAM J. Math. Anal., J. Diff. Eqns., J. Nonlinear Science等著名杂志发表有影响的研究论文160余篇，其中SCI收录150余篇。主持完成了多项加拿大国家自然科学和工程基金个人项目等。