Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy | Zendy

Shengqiang Liu | Zendy; Lin Wang | Zendy

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Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy

Author(s) -

Shengqiang Liu,

Lin Wang

Publication year - 2010

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2010.7.675

Subject(s) - clearance , basic reproduction number , protease inhibitor (pharmacology) , human immunodeficiency virus (hiv) , stability (learning theory) , population , intracellular , viral load , virology , constant (computer programming) , biology , antiretroviral therapy , reproduction , pathogenesis , mathematics , immunology , computer science , microbiology and biotechnology , medicine , genetics , environmental health , machine learning , urology , programming language

Global stability is analyzed for a general mathematical model of HIV-1 pathogenesis proposed by Nelson and Perelson [11]. The general model include two distributed intracellular delays and a combination therapy with a reverse transcriptase inhibitor and a protease inhibitor. It is shown that the model exhibits a threshold dynamics: if the basic reproduction number is less than or equal to one, then the HIV-1 infection is cleared from the T-cell population; whereas if the basic reproduction number is larger than one, then the HIV-1 infection persists and the viral concentration maintains at a constant level.

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