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


Academic Report

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

Reporter: Prof. SHI Junping (College of William and Mary, USA)

Time: May 30, 2019 (Thursday) AM 10:00-11:00

Location: A1101# room, Innovation Park Building

Contact: Prof. YI Fengqi (tel:84708351-8118)

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.

The brief introduction to the reporter: Shi Junping, Chairman of the Department of Mathematics, College of William and Mary, United States, Professor of Hamilton Lecture. He studied at Nankai University from 1990 to 1993 and graduated from Brigham Young University in 1998 with a doctorate degree. The main research fields are partial differential equation, dynamic system, bifurcation theory, non-linear functional analysis and biomathematics. The research on partial differential equations and bifurcation theory has attracted worldwide attention. In addition, biomathematics, including population models, biochemical reactions, morphological formation, ecosystem stability and so on, has been studied. He has been a lecturer of Longjiang Scholars in Harbin Normal University and a lecturer of Hundred People Program in Shanxi University. He has participated in many projects funded by the National Science Foundation of the United States and China. He has hosted more than 20 international academic conferences, and has made more than 100 reports at international conferences and conferences. He has served as the Editorial Committee of several internationally renowned SCI journals and is the reviewer of more than 80 mathematical, physical and biological journals. Published more than 150 academic papers, of which more than 140 were included by SCI, and more than 2000 were cited by SCI magazines (it cited more than 1700 times).