Computer aided analysis of pattern formation in a semi-ratio-dependent predator-prey model

In this paper, we present the analysis of a reaction-diffusion system modeling semi-ratio-dependent predator-prey interactions with Holling IV functional response. Initially the conditions for diffusion-driven instability are obtained with the help of standard analysis of the linearized model around the coexisting equilibrium point. Then we give the spatial pattern formation via numerical simulation, i.e., the evolution process of the system near the coexistence equilibrium point. Numerical simulation reveals that different kinds pattern formation for different choice of parametric values.