Speaker: Pro.Junping Shi（College of William & Mary, USA）

Title: Modeling animal movement with memory with partial differential equations with time-delay

Time: Wed, Jun.5, 2019, AM:10:00-11:00

Location: Room 4318, Building No.4, Wushan Campus

Abstract:

        Animal populations often self-organize into territorial structure from movements and interactions of individual animals. Memory is one of cognitive processes that may affect the movement and navigation of the animals. We will review several mathematical approaches of animal spatial movements, and also introduce our recent work using partial differential equations with time-delay to model and simulate the memory-based movement. We will show the bifurcation and pattern formation for such models. It is based on joint work with Chuncheng Wang, Hao Wang, Xiangping Yan, Qingyan Shi and Yongli Song.