ABSTRACT
In this chapter, we investigate the evolution of spatiotemporal pattern formation in prey-predator model with type-III functional response. We obtain the stipulations of Hopf and Turing bifurcation in a spatiotemporal region. Moreover, we present a qualitative analysis of growth and development processes that involves species distribution and their interplay of spatially distributed populace with diffusion. The series of numerical simulations reveal that the dynamics of predator and prey density variation is the pattern formation of isolated groups, i.e., spotted like or stripe or coexistence of both. Also, we show that the patchy invasion displays to be feasible also in a fully deterministic model as a result of the functional response. It may help us better understand the dynamics of realistic models.
