报告人：史红波教授
报告地点: 腾讯会议933314955
报告时间：2022年8月12日 14：00
报告题目： SPATIOTEMPORAL DYNAMICS OF A DIFFUSIVE LESLIE-TYPE PREDATOR–PREY MODELWITH BEDDINGTON–DEANGELIS FUNCTIONAL RESPONSE
主办单位：数学与统计学院
摘要：In this talk, we study the spatiotemporaldynamics of a diffusive Leslie-type predator–prey system withBeddington–DeAngelis functional response under homogeneous Neumann boundaryconditions. Preliminary analysis on the local asymptotic stability and Hopfbifurcation of the spatially homogeneous model based on ordinary differentialequations is presented. For the diffusive model, firstly, it is shown thatTuring (diffusion-driven) instability occurs which induces spatialinhomogeneous patterns. Next, it is proved that the diffusive model exhibitsHopf bifurcation which produces temporal inhomogeneous patterns. Furthermore,at the points where the Turing instability curve and Hopf bifurcation curveintersect, it is demonstrated that the diffusive model undergoes Turing–Hopfbifurcation and exhibits spatiotemporal patterns. Numerical simulations arealso presented to verify the theoretical results.
报告人简介：史红波，男，博士，淮阴师范学院数学与统计学院教授、淮阴师范学院教务部副部长。主要从事反应扩散方程及其应用方面的研究，先后访问美国迈阿密大学、加拿大约克大学等高校，发表SCI论文20余篇，主持或参与国家自然科学基金、中国博士后科学基金、江苏省自然科学基金、江苏省高校自然科学基金等多个项目。