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Dynamic complexity of a fractional-order predator–prey system with double delays

Huan Li, Chengdai Huang and Tongxing Li

Physica A: Statistical Mechanics and its Applications, 2019, vol. 526, issue C

Abstract: The present paper gropes for the stability and bifurcation of a delayed fractional-order predator–prey model with two different delays. The bifurcation points can be accurately figured out for such model by choosing different delay as a bifurcation parameter. Then, the impact of fractional order and other delay on the bifurcation point is ulteriorly displayed by elaborative computation. It is demonstrated that the stability performance of the proposed model can be sabotaged or promoted by modulating fractional order or another delay. Finally, explanatory examples are addressed to validate the exactitude of the academic results.

Keywords: Different delays; Stability; Fractional order; Hopf bifurcation; Predator–prey models (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119304546

DOI: 10.1016/j.physa.2019.04.088

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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