Further Results on Bifurcation for a Fractional-Order Predator-Prey System concerning Mixed Time Delays

Zhenjiang Yao, Bingnan Tang and Abdul Qadeer Khan

Discrete Dynamics in Nature and Society, 2021, vol. 2021, 1-14

Abstract: In the present work, we mainly focus on a new established fractional-order predator-prey system concerning both types of time delays. Exploiting an advisable change of variable, we set up an isovalent fractional-order predator-prey model concerning a single delay. Taking advantage of the stability criterion and bifurcation theory of fractional-order dynamical system and regarding time delay as bifurcation parameter, we establish a new delay-independent stability and bifurcation criterion for the involved fractional-order predator-prey system. The numerical simulation figures and bifurcation plots successfully support the correctness of the established key conclusions.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:1535920

DOI: 10.1155/2021/1535920

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