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Research Article | Open Access

Positive almost periodic solution for competitive and cooperative Nicholson's blowflies system

School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China
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Abstract

In this paper, we investigate a class of competitive and cooperative Nicholson's blowfly equations. By applying the Lyapunov functional and analysis technique, the conditions for the existence and exponential convergence of a positive almost periodic solution are derived. Moreover, an example and numerical simulation for justifying the theoretical analysis are also provided.

Keywords

positive almost periodic solutionexponential convergenceNicholson's blowfly modelM-matrixexponential dichotomy
CLC number: 34A34, 34C27, 34K14

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AIMS Mathematics
Volume 9 Issue 5,
May 2024
Pages 10638-10658
DOI: 10.3934/math.2024519

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Cite this article:
Wang W. Positive almost periodic solution for competitive and cooperative Nicholson's blowflies system. AIMS Mathematics, 2024, 9(5): 10638-10658. https://doi.org/10.3934/math.2024519

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Received: 17 January 2024
Revised: 04 March 2024
Accepted: 08 March 2024
Published: 15 May 2024
©2024 the Author(s), licensee AIMS Press.

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