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Stage Structure and Refuge Effects in the Dynamical Analysis of a Fractional Order Rosenzweig-MacArthur Prey-Predator Model |
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PP: 49-64 |
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doi:10.18576/pfda/050106
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Author(s) |
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Mahmoud Moustafa,
Mohd Hafiz Mohd,
Ahmad Izani Ismail,
Farah Aini Abdullah,
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Abstract |
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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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