Qualitative analysis of a ratio-dependent predator–prey system with diffusion

@article{Pang2003QualitativeAO,
title={Qualitative analysis of a ratio-dependent predator–prey system with diffusion},
author={Peter Y. H. Pang and M. Wang},
journal={Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences},
year={2003},
volume={133},
pages={919-942}
}

Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences

Ratio-dependent predator–prey models are favoured by many animal ecologists recently as they better describe predator–prey interactions where predation involves a searching process. When densities of prey and predator are spatially homogeneous, the so-called Michaelis–Menten ratio-dependent predator–prey system, which is an ordinary differential system, has been studied by many authors. The present paper deals with the case where densities of prey and predator are spatially inhomogeneous in a… CONTINUE READING