Qualitative analysis on a reaction-diffusion prey-predator model and the corresponding steady-states

Abstract

The authors study a diffusive prey-predator model subject to the homogeneous Neumann boundary condition and give some qualitative descriptions of solutions to this reaction-diffusion system and its corresponding steady-state problem. The local and global stability of the positive constant steady-state are discussed, and then some results for non-existence of positive non-constant steady-states are derived.

Keywords

Prey-predator model / Steady-state / Global stability / Non-existence

References

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