Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy
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 mo...
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| Format: | Article |
| Language: | English |
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AIMS Press
2010-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.675 |
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| _version_ | 1832590189846855680 |
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| author | Shengqiang Liu Lin Wang |
| author_facet | Shengqiang Liu Lin Wang |
| author_sort | Shengqiang Liu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-6e39924a0f37483c8586c2cf41147233 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2010-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-6e39924a0f37483c8586c2cf411472332025-01-24T02:00:43ZengAIMS PressMathematical Biosciences and Engineering1551-00182010-05-017367568510.3934/mbe.2010.7.675Global stability of an HIV-1 model with distributed intracellular delays and a combination therapyShengqiang Liu0Lin Wang1Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute of Technology, 3041#, 2 Yi-Kuang Street, Harbin, 150080Academy of Fundamental and Interdisciplinary Sciences, Harbin Institute of Technology, 3041#, 2 Yi-Kuang Street, Harbin, 150080Global 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.https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.675hiv-1; global stability; delay; steady state; lyapunov functional. |
| spellingShingle | Shengqiang Liu Lin Wang Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy Mathematical Biosciences and Engineering hiv-1; global stability; delay; steady state; lyapunov functional. |
| title | Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy |
| title_full | Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy |
| title_fullStr | Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy |
| title_full_unstemmed | Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy |
| title_short | Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy |
| title_sort | global stability of an hiv 1 model with distributed intracellular delays and a combination therapy |
| topic | hiv-1; global stability; delay; steady state; lyapunov functional. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.675 |
| work_keys_str_mv | AT shengqiangliu globalstabilityofanhiv1modelwithdistributedintracellulardelaysandacombinationtherapy AT linwang globalstabilityofanhiv1modelwithdistributedintracellulardelaysandacombinationtherapy |