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Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge
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Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge
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Journal Article
Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge
2017
Overview
In this paper, a fractional-order predator-prey model incorporating a prey refuge is proposed. We first prove the existence, uniqueness, non-negativity and boundedness of the solutions for the considered model. Moreover, we also analyze the existence of various equilibrium points, and some sufficient conditions are derived to ensure the global asymptotic stability of the predator-extinction equilibrium point and coexistence equilibrium point. Finally, some numerical simulations are carried out for illustrating the analytic results.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V
