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Bifurcation Behaviors Of A Fractional-Order Predator–Prey Network With Two Delays

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  • CHENGDAI HUANG

    (School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China)

Abstract

This paper highlights the stability and bifurcation of a fractional-order predator–prey model involving two delays. The critical values of delays with respect to Hopf bifurcation are exactly calculated for the developed model by taking two different delays as bifurcation parameters, respectively. Moreover, the effects of fractional order and additional delay on the bifurcation point are carefully explored. It detects that the stability performance is extremely strengthened by taking an appropriate fractional order and another delay. This hints that the onset of Hopf bifurcation can be advanced (lagged) with variations of their values. Numerical simulations are ultimately employed to check the correctness of the derived theoretical analysis.

Suggested Citation

  • Chengdai Huang, 2021. "Bifurcation Behaviors Of A Fractional-Order Predator–Prey Network With Two Delays," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(06), pages 1-17, September.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:06:n:s0218348x2150153x
    DOI: 10.1142/S0218348X2150153X
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