# Qualitative analysis on a diffusive prey-predator model with ratio-dependent functional response

@article{Peng2008QualitativeAO, title={Qualitative analysis on a diffusive prey-predator model with ratio-dependent functional response}, author={R. Peng and M. Wang}, journal={Science in China Series A: Mathematics}, year={2008}, volume={51}, pages={2043-2058} }

In this paper, we investigate a prey-predator model with diffusion and ratio-dependent functional response subject to the homogeneous Neumann boundary condition. Our main focuses are on the global behavior of the reaction-diffusion system and its corresponding steady-state problem. We first apply various Lyapunov functions to discuss the global stability of the unique positive constant steady-state. Then, for the steady-state system, we establish some a priori upper and lower estimates for… Expand

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