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Research Article | Open Access

Almost periodic positive solutions of two generalized Nicholson's blowflies equations with iterative term

Youqian Bai, Yongkun Li( )
Department of Mathematics, Yunnan University, Kunming 650091, China
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Abstract

This article considered two generalized Nicholson's blowflies equations with iteration term and time delay, as well as with immigration, and Nicholson's blowflies equation with iteration term and time delay, as well as harvesting term, respectively. Under appropriate conditions, the existence and uniqueness of almost periodic positive solutions for these two equations were established, respectively, by employing Banach's fixed point theorem. These results were brand new.

Keywords

Nicholson's blowflies modelsiterative termstime delaysBanach fixed point theoremalmost periodic solutions

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Electronic Research Archive
Volume 32 Issue 5,
May 2024
Pages 3230-3240
DOI: 10.3934/era.2024148

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Cite this article:
Bai Y, Li Y. Almost periodic positive solutions of two generalized Nicholson's blowflies equations with iterative term. Electronic Research Archive, 2024, 32(5): 3230-3240. https://doi.org/10.3934/era.2024148

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Received: 17 February 2024
Revised: 22 April 2024
Accepted: 26 April 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 (http://creativecommons.org/licenses/by/4.0)