Special Session 114: 

On the predator-prey systems with nonrandom motion

Hai-Yang JIN
South China University of Technology
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk,we establish the global boundedness and stability of the predator-prey system with non-random motion in a two-dimensional bounded domain with Neumman boundary conditions. We first establish the existence of classical solution with uniform-in time bound. Then by constructing Lyapunov functionals, we establish the global stability of the prey-only steady states and coexistence steady states under certain conditions on parameters. This is a joint work with Zhi-An Wang (Polyu)