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Dynamic complexity of a fractional-order predator–prey system with double delays

Author

Listed:
  • Li, Huan
  • Huang, Chengdai
  • Li, Tongxing

Abstract

The present paper gropes for the stability and bifurcation of a delayed fractional-order predator–prey model with two different delays. The bifurcation points can be accurately figured out for such model by choosing different delay as a bifurcation parameter. Then, the impact of fractional order and other delay on the bifurcation point is ulteriorly displayed by elaborative computation. It is demonstrated that the stability performance of the proposed model can be sabotaged or promoted by modulating fractional order or another delay. Finally, explanatory examples are addressed to validate the exactitude of the academic results.

Suggested Citation

  • Li, Huan & Huang, Chengdai & Li, Tongxing, 2019. "Dynamic complexity of a fractional-order predator–prey system with double delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    • Handle: RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119304546
    DOI: 10.1016/j.physa.2019.04.088
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    Citations

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    Cited by:

    1. Yuan, Jun & Zhao, Lingzhi & Huang, Chengdai & Xiao, Min, 2021. "Stability and bifurcation analysis of a fractional predator–prey model involving two nonidentical delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 562-580.
    2. 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).
    3. Huangyu Guo & Jing Han & Guodong Zhang, 2023. "Hopf Bifurcation and Control for the Bioeconomic Predator–Prey Model with Square Root Functional Response and Nonlinear Prey Harvesting," Mathematics, MDPI, vol. 11(24), pages 1-18, December.

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