Dynamics of an Eco-epidemiological model with infected prey in fractional order

In this article, a model of a diseased prey-predator with fractional order has been studied. The model has been used as a functional response of Holling type Ⅱ in a non-delayed model. The eigenvalues of a model are used to test its stability using critical points. Furthermore, the boundedness, uniqueness, existence, and positivity of the solutions have been studied. The locally asymptotically stable model has been analyzed using the critical points, and the globally asymptotically stable model has been examined using the Lyapunov function. The occurrence of Hopf bifurcation for fractional order has been examined. Finally, numerical simulations are presented to confirm the analytical solutions.