Codimension two bifurcation and spatiotemporal patterns in a diffusive predator-prey system
时间  Datetime
2023-04-10 14:30 — 16:00
地点  Venue
会议室(703)
报告人  Speaker
蒋卫华
单位  Affiliation
哈尔滨工业大学
邀请人  Host
唐异垒
备注  remarks
报告摘要  Abstract

In this talk, taking a diffusive predator-prey system with no-flux boundary conditions as an example, we define and describe 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.
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