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In core and satellite structure, there are one core enterprise and at least two satellite enterprises. There exist a competitive relationship between satellite enterprises and a cooperative relationship between satellite enterprise and core enterprise. However, the dynamic evolution of competition\u2010cooperation enterprise clusters with core\u2010satellite structure is not well understood. In this paper, a novel competition\u2010cooperation enterprise cluster model with core\u2010satellite structure is proposed. The boundedness of the positive equilibrium is investigated. It is found that there exists upper bound of both core enterprise output and satellite enterprise output and the upper bound of core enterprise not only depends on its own production capacity but also depends on the production capacity of two satellite enterprises. Then, by selecting the production period as bifurcating parameter, the conditions of local stability and Hopf bifurcation are obtained. Once the production period passes a critical value, the output of both core enterprise and satellite enterprise loses stability and displays periodic fluctuations. This may lead to the decline of efficiency of enterprise and resource mismatch. Furthermore, the fluctuation properties are studied. Finally, a numerical example is presented to show the effectiveness of theorem.<\/jats:p>","DOI":"10.1155\/2021\/6644292","type":"journal-article","created":{"date-parts":[[2021,6,3]],"date-time":"2021-06-03T00:40:07Z","timestamp":1622680807000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Dynamic Analysis of a Competition\u2010Cooperation Enterprise Cluster with Core\u2010Satellite Structure and Time Delay"],"prefix":"10.1155","volume":"2021","author":[{"given":"Wenjie","family":"Hu","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0555-2720","authenticated-orcid":false,"given":"Tao","family":"Dong","sequence":"additional","affiliation":[]},{"given":"Hua","family":"Zhao","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2021,6,2]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2018.06.098"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.respol.2018.01.015"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.actaastro.2018.08.006"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1080\/13662716.2017.1355230"},{"key":"e_1_2_10_5_2","first-page":"60","article-title":"Empirical Analysis of the Impact Which the Shared Resources Have on the Competitive Advantages of the Logistics Enterprise in Logistics Industry Clusters","author":"Zhou R.","year":"2017","journal-title":"Geo-Informatics in Resource Management and Sustainable Ecosystem"},{"key":"e_1_2_10_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.proeng.2017.06.064"},{"key":"e_1_2_10_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2017.09.104"},{"key":"e_1_2_10_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2018.11.018"},{"key":"e_1_2_10_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.rtbm.2018.03.005"},{"key":"e_1_2_10_10_2","first-page":"1","article-title":"Periodic behavior of competition and corporation dynamical model of two enterprises on time scales","volume":"29","author":"Xu C.","year":"2012","journal-title":"Journal of Quantitative Economics"},{"key":"e_1_2_10_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40808-016-0156-0"},{"key":"e_1_2_10_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2010.01.061"},{"key":"e_1_2_10_13_2","doi-asserted-by":"publisher","DOI":"10.2298\/fil1716271p"},{"key":"e_1_2_10_14_2","doi-asserted-by":"publisher","DOI":"10.1155\/2019\/8385426"},{"key":"e_1_2_10_15_2","doi-asserted-by":"publisher","DOI":"10.1155\/2020\/2128497"},{"key":"e_1_2_10_16_2","first-page":"32","article-title":"Enterprises cluster co-existence model and stability analysis","volume":"21","author":"Zhou H.","year":"2003","journal-title":"Systems Engineering"},{"key":"e_1_2_10_17_2","first-page":"49","article-title":"Competitive strategies in an enterprise: an ecological model","volume":"27","author":"Guo Q.","year":"2005","journal-title":"Geological Technoeconomic Management"},{"key":"e_1_2_10_18_2","first-page":"32","article-title":"Analysis to the equilibrium of industrial clusters based on ecological model","volume":"8","author":"Wang Z.","year":"2008","journal-title":"Statistical Thinktank"},{"key":"e_1_2_10_19_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-013-1063-9"},{"key":"e_1_2_10_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2014.02.031"},{"key":"e_1_2_10_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2011.05.036"},{"key":"e_1_2_10_22_2","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/1263602"},{"key":"e_1_2_10_23_2","doi-asserted-by":"publisher","DOI":"10.1109\/tnb.2020.2964900"},{"key":"e_1_2_10_24_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12559-018-9618-1"},{"key":"e_1_2_10_25_2","first-page":"863","article-title":"On the zeros of transcendental functions with applications to stability of delay differential equations with two delays","volume":"10","author":"Ruan S.","year":"2003","journal-title":"Dynamics.of Continous Discrete Impulsive Systems Series. 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