HIV-1延迟感染数学模型的Hopf分岔

2013 IEEE 8th International Symposium on Applied Computational Intelligence and Informatics (SACI) Pub Date : 2013-05-23 DOI:10.1109/SACI.2013.6608967

O. Bundau, A. Juratoni, A. Kovács

{"title":"HIV-1延迟感染数学模型的Hopf分岔","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":"{\"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}","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

摘要

本文考虑了从[7]开始的具有时间延迟的模型，该模型描述了HIV-1感染的动力学。该模型表现为Hopf分岔。应用范式理论和中心流形定理，确定了分岔周期解的方向和稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Hopf bifurcations in a mathematical model of HIV-1 infection with delay

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2013 IEEE 8th International Symposium on Applied Computational Intelligence and Informatics (SACI)

自引率

0.00%

发文量