Self-organized spatial patterns due to diffusion in a Holling–Tanner predator–prey model

Abstract

In this paper, we study a two-dimensional spatio-temporal Holling–Tanner type predator–prey model incorporating ratio-dependent Holling type-IV functional response. From the analytical conditions of Hopf and diffusion-driven instability with zero flux boundary conditions, Turing region is indicated. The emergence of spatial and spatio-temporal patterns controlled by diffusion process is considered numerically. Our numerical experience suggests that the system can produce different types of patterns with carefully chosen parameters and initial conditions.