Positive steady states of the Holling-Tanner prey-predator model with diffusion. (English) Zbl 1144.35409

Peng, Rui; Wang, Mingxin

Proc. R. Soc. Edinb., Sect. A, Math. 135, No. 1, 149-164 (2005).

The authors deal with the Holling-Tanner prey-predator model with diffusion subject to the homogeneous Neumann boundary conditions. The authors prove the existence and non-existence of positive non-constant steady states.

Reviewer: Messoud A. Efendiev (Berlin)

MSC:

35K57	Reaction-diffusion equations
35K50	Systems of parabolic equations, boundary value problems (MSC2000)
92D25	Population dynamics (general)

Keywords:

prey-predator model; non-constant steady state; diffusion