- Research Article
- Open Access
Non-Constant Positive Steady States for a Predator-Prey Cross-Diffusion Model with Beddington-DeAngelis Functional Response
© L. Zhang and S. Fu. 2011
- Received: 13 October 2010
- Accepted: 30 January 2011
- Published: 27 February 2011
This paper deals with a predator-prey model with Beddington-DeAngelis functional response under homogeneous Neumann boundary conditions. We mainly discuss the following three problems: (1) stability of the nonnegative constant steady states for the reaction-diffusion system; (2) the existence of Turing patterns; (3) the existence of stationary patterns created by cross-diffusion.
- Boundary Condition
- Differential Equation
- Steady State
- Partial Differential Equation
- Ordinary Differential Equation
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