文章基本信息

标题：Stability analysis of HIV-1 model with multiple delays
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作者：Nigar Ali ; Gul Zaman ; Obaid Algahtani 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：88
DOI：10.1186/s13662-016-0808-4
语种：English
出版社：Hindawi Publishing Corporation
摘要：A mathematical model for HIV-1 infection with multiple delays is proposed. These delays account for (i) the delay in contact process between the uninfected cells virus, (ii) a latent period between the time target cells which are contacted by the virus particles and the time the virions enter the cells, and (iii) a virus production period for new virions to be produced within and released from the infected cells. For this model, the basic reproductive number is identified and its threshold property is discussed. The uninfected and infected steady states are shown to be locally as well as globally asymptotically stable. The value of the basic reproductive number shows that increasing any one of these delays will decrease this number. This may suggest a new direction for new drugs that can prolong the infection process and spreading of virus. The proved results have potential applications in HIV-1 therapy.
关键词：Acquire Immunodeficiency Syndrome ; Uninfected Cell ; Basic Reproduction Number ; Free Virus ; Transcritical Bifurcation