Global asymptotic stability of a ratio-dependent predator-prey system with diffusion

Abstract

This paper is concerned with a predator-prey system with diffusion. The global asymptotic stability of the unique positive constant equilibrium is obtained under certain conditions. The method used here is the upper and lower solutions combined with the monotone iteration and constructing suitable Lyapunov functions. © 2005 Elsevier B.V. All rights reserved.