Progress in Fractional Differentiation & Applications

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In this paper, a fractional order prey-predator model with stage structure incorporating a prey refuge is established and analyzed. The predation is modelled using a Hollings type II functional response. The existence, uniqueness, non-negativity and boundedness of the solutions of the model is established. In addition to investigating the stability of the equilibrium points, conditions for the stability and Hopf bifurcation are obtained. The impact of fractional order, prey refuge and conversion coefficient on the stability of the fractional-order system are theoretically and numerically investigated

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