十大赌博正规官方网站

十大赌博正规官方网站:8月12日 淮阴师范学院史洪波教授学术报告

发布者:发布时间:2022-08-11浏览次数:10

人:史红波教授

报告地点: 腾讯会议933314955

报告时间:2022812 14:00

报告题目: SPATIOTEMPORAL DYNAMICS OF A DIFFUSIVE LESLIE-TYPE PREDATOR–PREY MODELWITH BEDDINGTON–DEANGELIS FUNCTIONAL RESPONSE

主办单位:十大赌博正规官方网站

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.

 

报告人简介:史红波,男,博士,淮阴师范学院十大赌博正规官方网站教授、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。

 


十大赌博正规官方网站(集团)控股有限公司