Further Results on Bifurcation for a Fractional-Order Predator-Prey System concerning Mixed Time Delays
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Set Up
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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.
2019 ◽
Vol 20
(2)
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pp. 125-136
2014 ◽
Vol 595
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pp. 283-288
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2002 ◽
Vol 46
(1)
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pp. 205-220
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