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Stability analysis of a fractional-order diffused prey–predator model with prey refuges

Author

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  • Xie, Yingkang
  • Lu, Junwei
  • Wang, Zhen

Abstract

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.

Suggested Citation

  • Xie, Yingkang & Lu, Junwei & Wang, Zhen, 2019. "Stability analysis of a fractional-order diffused prey–predator model with prey refuges," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    • Handle: RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119303735
    DOI: 10.1016/j.physa.2019.04.009
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    Citations

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    Cited by:

    1. Huang, Chengdai & Liu, Heng & Chen, Xiaoping & Zhang, Minsong & Ding, Ling & Cao, Jinde & Alsaedi, Ahmed, 2020. "Dynamic optimal control of enhancing feedback treatment for a delayed fractional order predator–prey model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
    2. Bi, Zhimin & Liu, Shutang & Ouyang, Miao, 2022. "Three-dimensional pattern dynamics of a fractional predator-prey model with cross-diffusion and herd behavior," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    3. Huang, Chengdai & Liu, Heng & Chen, Xiaoping & Cao, Jinde & Alsaedi, Ahmed, 2020. "Extended feedback and simulation strategies for a delayed fractional-order control system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    4. Ghanbari, Behzad & Djilali, Salih, 2020. "Mathematical analysis of a fractional-order predator-prey model with prey social behavior and infection developed in predator population," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).

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