Complex dynamics of a diffusive modified Holling-Tanner predator-prey model

In this work, we consider temporal and spatio-temporal Holling-Tanner predator-prey models with an alternative food for the predator. From our result of the temporal model, we identify regions in parameter space in which Turing instability in the spatio-temporal model are expected. Subsequently, we analyse these instabilities. We use simulations to illustrate the behaviour of both the temporal and spatio-temporal model.