Stability and bifurcation of a delayed generalized fractional-order prey–predator model with interspecific competition

Zhen Wang, Yingkang Xie, Junwei Lu and Yuxia Li

Applied Mathematics and Computation, 2019, vol. 347, issue C, 360-369

Abstract: The present paper considers a delayed generalized fractional-order prey-predator model with interspecific competition. The existence of the nontrivial positive equilibrium is discussed, and some sufficient conditions for global asymptotic stability of the equilibrium are developed. Meanwhile, the existence of Hopf bifurcation is discussed by choosing time delay as the bifurcation parameter. Finally, some numerical simulations are carried out to support the analytical results.

Keywords: Fractional-order system; Time delay; Prey-predator model; Hopf bifurcation; Stability (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (33)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:347:y:2019:i:c:p:360-369

DOI: 10.1016/j.amc.2018.11.016

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