Periodic traveling wave solutions of the Nicholson's blowflies model with delay and advection

Dong Li; Xiaxia Wu; Shuling Yan; Dong Li; Xiaxia Wu; Shuling Yan

doi:10.3934/era.2023130

Electronic Research Archive

2023, Volume 31, Issue 5: 2568-2579. doi: 10.3934/era.2023130

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Periodic traveling wave solutions of the Nicholson's blowflies model with delay and advection

1.
College of Sciences, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2.
School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu 221116, China

Academic Editor: Fengqi Yi

Received: 18 January 2023 Revised: 23 February 2023 Accepted: 28 February 2023 Published: 06 March 2023

The existence, stability and bifurcation direction of periodic traveling waves for the Nicholson's blowflies model with delay and advection are investigated by applying the Hopf bifurcation theorem, center manifold theorem as well as normal form theory. Some numerical simulations are presented to illustrate our main results.
- Nicholson's blowflies model,
- delay,
- advection,
- periodic traveling waves,
- numerical simulations
Citation: Dong Li, Xiaxia Wu, Shuling Yan. Periodic traveling wave solutions of the Nicholson's blowflies model with delay and advection[J]. Electronic Research Archive, 2023, 31(5): 2568-2579. doi: 10.3934/era.2023130

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Abstract

The existence, stability and bifurcation direction of periodic traveling waves for the Nicholson's blowflies model with delay and advection are investigated by applying the Hopf bifurcation theorem, center manifold theorem as well as normal form theory. Some numerical simulations are presented to illustrate our main results.

References

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