Spatiotemporal patterns in a diffusive predator-prey system involving nonlocal interactions

讲座时间 Datetime: 2022年9月8日，星期四，19:30-20:30

地点 Venue: 腾讯线上会议：489-419-824

主持人 Host：彭亚群

报告人 Speaker: 蒋卫华

单位 Affiliation: 哈尔滨工业大学

报告摘要 Abstract:

In this talk, taking a diffusive predator-prey system with no-flux boundary conditions as an example, we defined and described the first bifurcation curve, which shows that the coexistence equilibrium can lose its stability through not only codimension one Turing (Hopf) bifurcation, but also codimension two Turing-Hopf, Turing-Turing, Double Hopf and Bogdanov-Takens bifurcations, etc. In addition, the explicit formulas for the coefficients of normal forms for Turing-Hopf，Double Hopf and Bogdanov-Takens bifurcations of general PFDEs involving nonlocal interactions, are presented concisely. Some new spatiotemporal patterns are theoretically predicted and shown numerically.