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

Chun Peng; Xiaoliang Li; Bo Du; Chun Peng; Xiaoliang Li; Bo Du

doi:10.3934/math.2024308

AIMS Mathematics

2024, Volume 9, Issue 3: 6321-6335. doi: 10.3934/math.2024308

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

Chun Peng ¹,
Xiaoliang Li ^{2
,
,},
Bo Du ^{1
,
,}

1.
School of Mathematics and Statistics, Huaiyin Normal University, Huaian, Jiangsu, 223300, China
2.
Jiyang College, Zhejiang Agriculture and Forestry University, Zhuji, 311800, China

Received: 29 December 2023 Revised: 27 January 2024 Accepted: 01 February 2024 Published: 04 February 2024
MSC : 34N05

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.
- positive periodic solution,
- existence,
- time scales,
- enterprise cluster model
Citation: Chun Peng, Xiaoliang Li, Bo Du. Positive periodic solution for enterprise cluster model with feedback controls and time-varying delays on time scales[J]. AIMS Mathematics, 2024, 9(3): 6321-6335. doi: 10.3934/math.2024308

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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.

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