报告题目：Turing-Hopf bifurcation in the reaction-diffusion system

报告人：宋永利 教授，杭州师范大学

时间：2018年10月16日（周二）下午2:50-3:50

地点：第二教学楼 2606 教室

摘要：In this talk, we first derive the algorithm for the normal forms associated with the Turing-Hopf bifurcation in the reaction-diffusion system without or with delay, which can be used to investigate the spatiotemporal dynamical classification neat the Turing-Hopf bifurcation point in the parameter plane. Then, as an illustration of this procedure, we consider a diffusive predator-prey model with weak Allee effect and delay. By investigating the dynamics of the corresponding normal form of Turing-Hopf bifurcation induced by diffusion and delay, the spatiotemporal dynamics near this bifurcation point can be divided into six categories. Especially, stable spatially homogeneous/inhomogeneous periodic solutions and steady states, and the transition from one kind of spatiotemporal patterns to another are found.