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Research Article | Open Access

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

Dong Li1, Xiaxia Wu1, Shuling Yan2( )
College of Sciences, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu 221116, China
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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.

Keywords

Nicholson's blowflies modeldelayadvectionperiodic traveling wavesnumerical simulations

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Electronic Research Archive
Volume 31 Issue 5,
May 2023
Pages 2568-2579
DOI: 10.3934/era.2023130

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Cite this article:
Li D, Wu X, Yan S. Periodic traveling wave solutions of the Nicholson's blowflies model with delay and advection. Electronic Research Archive, 2023, 31(5): 2568-2579. https://doi.org/10.3934/era.2023130

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Received: 18 January 2023
Revised: 23 February 2023
Accepted: 28 February 2023
Published: 15 May 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)