报告题目：The Fisher-KPP equation over simple graphs: Varied persistence states in river networks

报告摘要：I'll report a recent work with my collaborators, on the growth and spread of a new species in a river network with two or three branches via the Fisher-KPP advection-diffusion equation, over some simple graphs with every edge a half infinite line. We obtain a rather complete description of the long-time dynamical behavior for every case under consideration, which can be loosely described by a trichotomy, including two different kinds of persistence states as parameters vary. The phenomenon of "persistence below carrying capacity'' revealed here appears new, which does not occur in related models of the existing literature where the river network is represented by graphs with finite-lengthed edges, or the river network is simplified to a single infinite line. The talk is based on joint work with Bendong Lou (Shanghai), Rui Peng (Xuzhou) and Maolin Zhou (Armidale).

报告时间：2018年12月11日（周二）上午10:00

报告地点：长清校区A231报告厅

欢迎各位老师和同学参加！