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

  • Hong-Li Li
  • Long Zhang
  • Cheng Hu
  • Yao-Lin Jiang
  • Zhidong Teng
Original Research
First Online:
Received:

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.

Keywords

Global asymptotic stability Fractional-order Predator-prey model Prey refuge 

Mathematics Subject Classification

34A08 34D23 92D25 
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Notes

Acknowledgments

This work is supported by National Natural Science Foundation of China (Grant Nos. 11371287, 11361059, 11271312, 61563048), the International Science and Technology Cooperation Program of China (Grant No. 2010DFA14700), and the Development Project of Innovative Talents of Technological Youth of Xinjiang (Grant No. 2014721014).

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Copyright information

© Korean Society for Computational and Applied Mathematics 2016

Authors and Affiliations

  • Hong-Li Li
    • 1
  • Long Zhang
    • 1
  • Cheng Hu
    • 1
  • Yao-Lin Jiang
    • 1
    • 2
  • Zhidong Teng
    • 1
  1. 1.College of Mathematics and System SciencesXinjiang UniversityUrumqiChina
  2. 2.Department of MathematicsXi’an Jiaotong UniversityXi’anChina

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