Journal
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
Volume 54, Issue 1-2, Pages 435-449Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s12190-016-1017-8
Keywords
Global asymptotic stability; Fractional-order; Predator-prey model; Prey refuge
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Funding
- National Natural Science Foundation of China [11371287, 11361059, 11271312, 61563048]
- International Science and Technology Cooperation Program of China [2010DFA14700]
- Development Project of Innovative Talents of Technological Youth of Xinjiang [2014721014]
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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.
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