| 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) |
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