Positive steady states of the Holling–Tanner prey–predator model with diffusion

• Published in: Proceedings of the Royal Society of Edinburgh. Section A. Mathematics Vol. 135; no. 1; pp. 149 - 164
• Main Authors: Peng, Rui, Wang, Mingxin
• Format: Journal Article
• Language: English
• Published: Edinburgh, UK Royal Society of Edinburgh Scotland Foundation 01.02.2005; Cambridge University Press

This paper is concerned with the Holling–Tanner prey–predator model with diffusion subject to the homogeneous Neumann boundary condition. We obtain the existence and non-existence of positive non-constant steady states.