Turing patterns in a diffusive Holling–Tanner predator-prey model with an alternative food source for the predator

In this manuscript, we consider temporal and spatio-temporal modified Holling–Tanner predator-prey models with growth rate as a logistic type, Holling type II functional response alternative food sources for the predator. From our result of model, identify regions in parameter space which Turing instability model is expected show numerical evidence where leads to periodic solutions. Subsequently, analyse these instabilities. We use simulations illustrate behaviour both model.