Invited by Prof. Binguo Wang, Prof. Hongyong Zhao from Nanjing University of Aeronautics & Astronautics will give a lecture.

Title: Dynamics of a diffusive system with Allee effect and threshold hunting

Time: 15:00 p.m.,Apr. 24th, 2021

Location: Room 631, Polytechnic building

Abstract: In this talk, we study a diffusive predator-prey system with the Allee effect and threshold hunting. First, the number of interior equilibrium points is determined by discussing the relation of parameters. Then, preliminary analysis on the local asymptotic stability and bifurcations of non-spatial system based on ordinary differential equations is presented. The stability of interior equilibrium points and the existence of Turing instability induced by the diffusion, spatially homogeneous and inhomogeneous Hopf bifurcation, Turing-Hopf bifurcation are studied. These results show that the Allee effect, threshold hunting and diffusion have significant impacts on the dynamics. Last, we present some numerical simulations that supplement the analytic results.