The role of protection zone on species spreading governed by a reaction-diffusion model
报告人:孙宁奎教授,山东师范大学 时间:2019年12月25日10:40
报告地点:行健楼学术活动室526
邀请人:雷雨田教授
Abstract: To save an endangered species, we introduce a protection zone that is governed by a Fisher-KPP nonlinearity, and examine the dynamics of a reaction-diffusion model with strong Allee effect and protection zone. We show the existence of two critical values, and prove that a vanishing-transition-spreading trichotomy result holds when the length of protection zone is small; a transition-spreading dichotomy result holds when the length of protection zone is between the two critical values; only spreading happens when the length of protection zone is large. Furthermore, we compare two types of protection zone with the same length: a connected one and a separate one, and our results reveal that the former is better for species spreading than the latter.