Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 526, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.physa.2019.04.009
Keywords
Diffusion; Prey-predator model; Prey refuge; Stability analysis; Fractional-order system
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Funding
- National Natural Science Foundation of China [61573008, 61473178]
- SDUST Research Fund [2014TDJH102, 2018TDJH101]
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In this paper, a fractional-order diffused prey-predator model with prey refuges is considered. The existence, uniqueness, non-negativity and boundedness of the solutions for the model are proved. Moreover, some sufficient conditions are given to ensure the existence and uniform asymptotic stability of the equilibrium point of the studied system. Finally, numerical simulations are presented in order to support the theoretical results. (C) 2019 Elsevier B.V. All rights reserved.
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