報告時間：2023年6月13日（星期二），10:00-11:00
報告地點：東校區(qū)二教305室
Title: Stationary solutions of a chemotaxis system with singular sensitivity and logistic source
Abstract: Chemotaxis, the directed movement of cells or living organisms in response to the concentration gradient of chemical substances, plays a significant role in a large range of biological phenomena such as tumor growth, wound healing, and embryo development. In this talk, first, we will introduce the chemotaxis model. Then, we will talk about the stability and instability of the constant solution. Next, we will discuss the local and global bifurcation and spiky stationary solutions which can be used to model cell aggregation. Finally, we will present some numerical simulations that illustrate our theoretical results and demonstrate some fascinating cellular aggregation phenomena.
Brief Bio: Shuwen Xue is an assistant professor at the Department of Mathematical Sciences at Northern Illinois University. Before joining NIU, Dr. Xue was a postdoctoral research fellow of Atlantic Association for Research in the Mathematical Sciences (AARMS) at the Department of Mathematics and Statistics at Memorial University of Newfoundland and her postdoc advisor is Prof. Xiaoqiang Zhao. Dr. Xue obtained her Ph.D. in mathematics from Auburn University under the supervision of Prof. Wenxian Shen. Dr. Xue’s research interests are partial differential equations, dynamical systems and mathematical biology. Dr. Xue has published papers in journals such as Journal of Mathematical Biology, Journal of Differential Equations, Journal of Dynamics and Differential Equations and Discrete and Continuous Dynamical Systems-Series A.
