Bistability and Turing pattern induced by cross fraction diffusion in a predator-prey model

In this work, we study a diffusive predator-prey model with mutual interference among the predators while searching for food. We prove that the model exhibits bistability, which indicates that there is no patterns for our model. When proper cross fractional diffusion terms are introduced in the model, the Turing pattern emerges when cross fractional diffusion coefficients fall into some domain.