Bifurcation for a fractional-order Lotka-Volterra predator-Cprey model with delay feedback control

Zhouhong Li; Wei Zhang; Chengdai Huang; Jianwen Zhou; Zhouhong Li; Wei Zhang; Chengdai Huang; Jianwen Zhou

doi:10.3934/math.2021040

AIMS Mathematics

2021, Volume 6, Issue 1: 675-687. doi: 10.3934/math.2021040

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Research article

Bifurcation for a fractional-order Lotka-Volterra predator-Cprey model with delay feedback control

1.
Department of Mathematics, Yuxi Normal University, Yuxi, Yunnan 653100, People's Republic of China
2.
School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, People's Republic of China
3.
Depaertment of Mathematics, Yunnan University, Kunming 650091, People's Republic of China

Received: 27 July 2020 Accepted: 10 October 2020 Published: 27 October 2020
MSC : 34A08, 34A34, 34C23, 34H20

This paper addresses the bifurcation control of a fractional-order Lokta-Volterra predator-prey model by using delay feedback control. By employing time delay as a bifurcation parameter, the conditions of bifurcation are gained for controlled systems. Then, it indications that the onset of bifurcation can be postponed as feedback gain decreases. An example numerical results are ultimately exploited to validate the correctness of the the proposed scheme.
- fractional-order,
- Lotka-Volterra predator-prey system,
- bifurcation control,
- delay feedback control
Citation: Zhouhong Li, Wei Zhang, Chengdai Huang, Jianwen Zhou. Bifurcation for a fractional-order Lotka-Volterra predator-Cprey model with delay feedback control[J]. AIMS Mathematics, 2021, 6(1): 675-687. doi: 10.3934/math.2021040

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Abstract

This paper addresses the bifurcation control of a fractional-order Lokta-Volterra predator-prey model by using delay feedback control. By employing time delay as a bifurcation parameter, the conditions of bifurcation are gained for controlled systems. Then, it indications that the onset of bifurcation can be postponed as feedback gain decreases. An example numerical results are ultimately exploited to validate the correctness of the the proposed scheme.

References

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