Steady state for a predator–prey cross-diffusion system with the Beddington–DeAngelis and Tanner functional response

Abstract

Abstract The main goal of this paper is investigating the existence of nonconstant positive steady states of a linear prey–predator cross-diffusion system with Beddington–DeAngelis and Tanner functional response. An analytical method and fixed point index theory plays a significant role in our main proofs.

Keywords

• Beddington–DeAngelis and Tanner functional response
• Prey–predator
• Cross-diffusion
• Steady state