报告题目：Global dynamics and spatiotemporal pattern formation in a three-species chemotaxis model with evasion effect
报 告 人：许璐
工作单位：伊犁师范大学数学与统计学院
报告时间：2026-10-24 17:00-19:00；
报告地点：数信学院305
报告摘要：
This paper focuses on the dynamical behaviors of solutions to a higher-dimensional food chain chemotaxis model with prey-taxis and evasion effect. Under appropriate parameter conditions, we first establish the global existence and boundedness of classical solutions by means of a priori estimates and semigroup theory. Furthermore, we prove the global asymptotic stability of the spatially homogeneous coexistence steady state by constructing an appropriate Lyapunov functional. Finally, numerical simulations indicate that the repulsive chemotactic sensitivity of the intermediate predator toward chemical signals plays an important role in spatiotemporal pattern formation, which complements our theoretical analysis.
报告人简介：
许璐，伊犁师范大学数学与统计学院，副教授，硕士研究生导师。目前主要从事偏微分方程理论及其在生物数学和医学中的应用研究。在Discrete Contin. Dyn. Syst.，Nonlinear Anal. Real World Appl.，J. Math. Anal. Appl.，J. Math. Phy.等期刊上发表论文10多篇。近年来主持和参与国家项目3项，省部级项目5项。
