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

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...

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Main Authors: Chun Peng, Xiaoliang Li, Bo Du
Format: Article
Language:English
Published: AIMS Press 2024-02-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024308?viewType=HTML
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author Chun Peng
Xiaoliang Li
Bo Du
author_facet Chun Peng
Xiaoliang Li
Bo Du
author_sort Chun Peng
collection DOAJ
description 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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spelling doaj.art-ca3042d67bb44c23ad860ccd0b9355e42024-02-23T01:32:54ZengAIMS PressAIMS Mathematics2473-69882024-02-01936321633510.3934/math.2024308Positive periodic solution for enterprise cluster model with feedback controls and time-varying delays on time scalesChun Peng 0Xiaoliang Li1Bo Du21. School of Mathematics and Statistics, Huaiyin Normal University, Huaian, Jiangsu, 223300, China2. Jiyang College, Zhejiang Agriculture and Forestry University, Zhuji, 311800, China1. School of Mathematics and Statistics, Huaiyin Normal University, Huaian, Jiangsu, 223300, ChinaThis 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.https://www.aimspress.com/article/doi/10.3934/math.2024308?viewType=HTMLpositive periodic solutionexistencetime scalesenterprise cluster model
spellingShingle Chun Peng
Xiaoliang Li
Bo Du
Positive periodic solution for enterprise cluster model with feedback controls and time-varying delays on time scales
AIMS Mathematics
positive periodic solution
existence
time scales
enterprise cluster model
title Positive periodic solution for enterprise cluster model with feedback controls and time-varying delays on time scales
title_full Positive periodic solution for enterprise cluster model with feedback controls and time-varying delays on time scales
title_fullStr Positive periodic solution for enterprise cluster model with feedback controls and time-varying delays on time scales
title_full_unstemmed Positive periodic solution for enterprise cluster model with feedback controls and time-varying delays on time scales
title_short Positive periodic solution for enterprise cluster model with feedback controls and time-varying delays on time scales
title_sort positive periodic solution for enterprise cluster model with feedback controls and time varying delays on time scales
topic positive periodic solution
existence
time scales
enterprise cluster model
url https://www.aimspress.com/article/doi/10.3934/math.2024308?viewType=HTML
work_keys_str_mv AT chunpeng positiveperiodicsolutionforenterpriseclustermodelwithfeedbackcontrolsandtimevaryingdelaysontimescales
AT xiaoliangli positiveperiodicsolutionforenterpriseclustermodelwithfeedbackcontrolsandtimevaryingdelaysontimescales
AT bodu positiveperiodicsolutionforenterpriseclustermodelwithfeedbackcontrolsandtimevaryingdelaysontimescales