報告人：史紅波教授
報告地點: 騰訊會議933314955
報告時間：2022年8月12日 14：00
報告題目： SPATIOTEMPORAL DYNAMICS OF A DIFFUSIVE LESLIE-TYPE PREDATOR–PREY MODELWITH BEDDINGTON–DEANGELIS FUNCTIONAL RESPONSE
主辦單位：伟德官网下app官方网站
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.
報告人簡介：史紅波，男，博士，淮陰師範學院伟德官网下app官方网站教授、淮陰師範學院教務部副部長。主要從事反應擴散方程及其應用方面的研究，先後訪問美國邁阿密大學、加拿大約克大學等高校，發表SCI論文20餘篇，主持或參與國家自然科學基金、中國博士後科學基金、江蘇省自然科學基金、江蘇省高校自然科學基金等多個項目。