Spatial patterns in a diffusive modified Holling--Tanner predator-prey model

In this work, we consider the dynamics of a temporal and spatio-temporal modified Holling-Tanner predator-prey models with an alternative food for the predator. From our result of the temporal model, we present the analytical conditions for the bifurcation diagram. Additionally, we identify regions in parameter space in which Turing instability in the spatio-temporal model are expected. We use simulations to illustrate the behaviour of both the temporal and spatio-temporal model.