{"title":"Stability and Bifurcation in Enterprise Symbiosis System with Delay","authors":"Aiying Jiao, W. Xiao","doi":"10.1109/ICECE.2010.489","DOIUrl":null,"url":null,"abstract":"In this paper, a two-enterprise symbiosis Lotka--Volterra system with continuous delay is considered. We first introduce the characteristic of enterprise system, and then investigate the stability of the positive equilibrium and the existence of Hopf bifurcations. The direction and the stability criteria of the bifurcating periodic solutions are obtained by the normal form theory and the center manifold theorem.","PeriodicalId":6419,"journal":{"name":"2010 International Conference on Electrical and Control Engineering","volume":"10 1","pages":"1989-1992"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Conference on Electrical and Control Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICECE.2010.489","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, a two-enterprise symbiosis Lotka--Volterra system with continuous delay is considered. We first introduce the characteristic of enterprise system, and then investigate the stability of the positive equilibrium and the existence of Hopf bifurcations. The direction and the stability criteria of the bifurcating periodic solutions are obtained by the normal form theory and the center manifold theorem.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
