Complex dynamics of a diffusive modified Holling-Tanner predator-prey model with strong Allee effect

In this work, we consider temporal and spatio-temporal modified Holling--Tanner predator-prey models with an alternative food for the predator and strong Allee effect in the prey. 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.