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

Zhenjiang Yao | Zendy; Bingnan Tang | Zendy

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

Author(s) -

Zhenjiang Yao,

Bingnan Tang

Publication year - 2021

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2021/1535920

Subject(s) - bifurcation , correctness , mathematics , stability (learning theory) , control theory (sociology) , saddle node bifurcation , bifurcation diagram , order (exchange) , computer science , nonlinear system , physics , algorithm , control (management) , finance , quantum mechanics , machine learning , artificial intelligence , economics

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.

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