{"title":"Hopf bifurcations in a mathematical model of HIV-1 infection with delay","authors":"O. Bundau, A. Juratoni, A. Kovács","doi":"10.1109/SACI.2013.6608967","DOIUrl":null,"url":null,"abstract":"In this paper we consider the model with time delay from [7], which describe the dynamics of HIV-1 infection. This model presents a Hopf bifurcation. We determine the direction and stability of the bifurcating periodic solutions by applying the normal form theory and the center manifold theorem.","PeriodicalId":304729,"journal":{"name":"2013 IEEE 8th International Symposium on Applied Computational Intelligence and Informatics (SACI)","volume":"116 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 IEEE 8th International Symposium on Applied Computational Intelligence and Informatics (SACI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SACI.2013.6608967","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 we consider the model with time delay from [7], which describe the dynamics of HIV-1 infection. This model presents a Hopf bifurcation. We determine the direction and stability of the bifurcating periodic solutions by applying the normal form theory and the center manifold theorem.
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