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Research Article | Open Access

Positive periodic solution for enterprise cluster model with feedback controls and time-varying delays on time scales

Chun Peng1, Xiaoliang Li2( ), Bo Du1( )
School of Mathematics and Statistics, Huaiyin Normal University, Huaian, Jiangsu, 223300, China
Jiyang College, Zhejiang Agriculture and Forestry University, Zhuji, 311800, China
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Abstract

This paper aims to study a class of enterprise cluster models with feedback controls and time-varying delays on time scales. Based on periodic time scales theory and the fixed point theorem of strict-set-contraction, some new sufficient conditions for the existence of positive periodic solutions are obtained. Finally, two examples are presented to verify the validity and applicability of the main results in this paper.

Keywords

positive periodic solutionexistencetime scalesenterprise cluster model
CLC number: 34N05

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AIMS Mathematics
Volume 9 Issue 3,
March 2024
Pages 6321-6335
DOI: 10.3934/math.2024308

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Cite this article:
Peng C, Li X, Du B. Positive periodic solution for enterprise cluster model with feedback controls and time-varying delays on time scales. AIMS Mathematics, 2024, 9(3): 6321-6335. https://doi.org/10.3934/math.2024308

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Received: 29 December 2023
Revised: 27 January 2024
Accepted: 01 February 2024
Published: 15 March 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)