ABSTRACT

The objective of this chapter is to study one- and two-dimensional spatial patterns in a predator–prey model with hunting cooperation under zero-flux boundary conditions and circular initial conditions. Spatial patterns occur when diffusion-driven instability takes place in a predator–prey model with hunting cooperation. We performed analytical and numerical analysis in both one- and two-dimensional spatial domains. The spatial dynamics of prey and predator populace in this model are discussed extensively. The heterogeneous dynamics of the system have both ecological and mathematical connotations. This chapter investigates meticulousness in the spatial dynamics of a predator–prey model with hunting cooperation via diffusion-driven instability. The outcomes presented here help us to comprehend the dynamics of predator–prey interplays in real-world phenomenon.