Speaker：Prof. Minxin Wang, Harbin Institute of Technology

               Title: Boundedness and global stability of the two-predator and one-prey models with nonlinear prey-taxis

Time：2018-05-07, 10:30-11:30

Venue：Room 316 of Environment Building, Rennin University

Abstract： This talk concerns the reaction-diffusion systems modeling the population dynamics of two predators and one prey with nonlinear prey-taxis. We first investigate the global existence and boundedness of the unique classical solution for the general model. Then we study the global stabilities of nonnegative spatially homogeneous equilibria for an explicit system with type I functional responses and density-dependent death rates for the predators and logistic growth for the prey. Moreover, the convergence rates are also established.