Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion

@article{Wang2004StationaryPF,
title={Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion},
author={M. Wang},
journal={Physica D: Nonlinear Phenomena},
year={2004},
volume={196},
pages={172-192}
}

Abstract We study a reaction diffusion system arising from a three-species prey–predator model with prey-dependent and ratio-dependent functional responses. The main aim of this paper is to study the global existence and bifurcation of non-constant positive steady-states. In particular, we will show that even though the unique positive constant steady-state is stable for the ODE dynamics, non-constant positive steady-states exist for the reaction diffusion system. This demonstrates that… Expand