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Journal of Applied Mathematics and Computing

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26.05.2016 | Original Research

Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge

verfasst von: Hong-Li Li, Long Zhang, Cheng Hu, Yao-Lin Jiang, Zhidong Teng

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2017

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Abstract

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.

Vorheriger Artikel Computing Sanskruti index of certain nanostructures

Nächster Artikel Solutions for a class of fractional Hamiltonian systems with a parameter

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Titel: Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge
verfasst von: Hong-Li Li
Long Zhang
Cheng Hu
Yao-Lin Jiang
Zhidong Teng
Publikationsdatum: 26.05.2016
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2017
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-016-1017-8

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