Fractional order predator-prey model with disease

What is it about?

In this paper, we introduce fractional order into an ecoepidemiological model, where predator consumes disproportionately large number of infected preys following type II response function. We prove different mathematical results like existence, uniqueness, non-negativity and boundedness of the solutions of fractional order system. We also prove the local and global stability of different equilibrium points of the system.

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Why is it important?

We show the application of fractional order differential equations in predator-prey model with disease in the prey species. We give both local and global criteria for the stability of different equilibrium points.