BIFURCATIONS EMERGING FROM DIFFERENT DELAYS IN A FRACTIONAL-ORDER PREDATOR–PREY MODEL

Chengdai Huang, Huan Li, Xiaoping Chen and Jinde Cao
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Chengdai Huang: School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, P. R. China
Huan Li: ��College of Life Sciences, Xinyang Normal University, Xinyang 464000, P. R. China
Xiaoping Chen: ��Department of Mathematics, Taizhou University, Taizhou 225300, P. R. China
Jinde Cao: �School of Mathematics, Southeast University, Nanjing 210996, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 02, 1-15

Abstract: This paper characterizes the stability and bifurcation of fractional-order ratio-dependent Holling–Tanner type model with fractional domain (0, 2]. The stability intervals and bifurcation conditions of the developed model are attained by viewing different delays as bifurcation parameters. Then, two numerical examples are employed to corroborate the correctness of the theoretical analysis consisting of figuring out the bifurcation point and checking the veracity of the acquired bifurcation results via the plotted bifurcation diagrams. It revamps the deficiency of fractional-order model with unique delay. The procured results are instrumental in exploring the intrinsic convolution of predator–prey models.

Keywords: Fractional Order; Different Delays; Stability; Hopf Bifurcation; Holling–Tanner Model (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21500407

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