On Fractional Predator-prey Model with Parental Care

This paper deals with a fractional-order stage structure predator-prey model at which the predators split into immature predators and mature predators. The immature predators are raised by their parents in the sense that they cannot catch the prey and their foods are provided by the parents. Fractional derivatives provide an excellent tool for describing the memory and the hereditary properties of various materials and processes. We study the equilibria of the system and the stability of them. Finally, some numerical simulations are performed by MATLAB to support our analytic results.