Stability of an HIV/AIDS Treatment Model with Different Stages
An HIV/AIDS treatment model with different stages is proposed in this paper. The stage of the HIV infection is divided into two stages, that is, HIV-positive in the asymptomatic stage of HIV infection and HIV-positive individuals in the pre-AIDS stage. The fact that some individuals with HIV-positiv...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/630503 |
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| _version_ | 1832556120081694720 |
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| author | Hai-Feng Huo Rui Chen |
| author_facet | Hai-Feng Huo Rui Chen |
| author_sort | Hai-Feng Huo |
| collection | DOAJ |
| description | An HIV/AIDS treatment model with different stages is proposed in this paper. The stage of the HIV infection is divided into two stages, that is, HIV-positive in the asymptomatic stage of HIV infection and HIV-positive individuals in the pre-AIDS stage. The fact that some individuals with HIV-positive individuals after the treatment can be transformed into the compartment of HIV-positive individuals in the asymptomatic stage of HIV infection, the compartment of HIV-positive individuals in the pre-AIDS stage, or the compartment of individuals with full-blown AIDS is also considered. Mathematical analyses establish the idea that the global dynamics of the HIV/AIDS model are determined by the basic reproduction number R0. The disease-free equilibrium is globally asymptotically stable if R0<1. The endemic equilibrium is globally asymptotically stable if R0>1 for a special case. Numerical simulations are also conducted to support the analytic results. |
| format | Article |
| id | doaj-art-9ee192ef5d96490d991ee34ff9092206 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-9ee192ef5d96490d991ee34ff90922062025-02-03T05:46:18ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/630503630503Stability of an HIV/AIDS Treatment Model with Different StagesHai-Feng Huo0Rui Chen1Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaDepartment of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, ChinaAn HIV/AIDS treatment model with different stages is proposed in this paper. The stage of the HIV infection is divided into two stages, that is, HIV-positive in the asymptomatic stage of HIV infection and HIV-positive individuals in the pre-AIDS stage. The fact that some individuals with HIV-positive individuals after the treatment can be transformed into the compartment of HIV-positive individuals in the asymptomatic stage of HIV infection, the compartment of HIV-positive individuals in the pre-AIDS stage, or the compartment of individuals with full-blown AIDS is also considered. Mathematical analyses establish the idea that the global dynamics of the HIV/AIDS model are determined by the basic reproduction number R0. The disease-free equilibrium is globally asymptotically stable if R0<1. The endemic equilibrium is globally asymptotically stable if R0>1 for a special case. Numerical simulations are also conducted to support the analytic results.http://dx.doi.org/10.1155/2015/630503 |
| spellingShingle | Hai-Feng Huo Rui Chen Stability of an HIV/AIDS Treatment Model with Different Stages Discrete Dynamics in Nature and Society |
| title | Stability of an HIV/AIDS Treatment Model with Different Stages |
| title_full | Stability of an HIV/AIDS Treatment Model with Different Stages |
| title_fullStr | Stability of an HIV/AIDS Treatment Model with Different Stages |
| title_full_unstemmed | Stability of an HIV/AIDS Treatment Model with Different Stages |
| title_short | Stability of an HIV/AIDS Treatment Model with Different Stages |
| title_sort | stability of an hiv aids treatment model with different stages |
| url | http://dx.doi.org/10.1155/2015/630503 |
| work_keys_str_mv | AT haifenghuo stabilityofanhivaidstreatmentmodelwithdifferentstages AT ruichen stabilityofanhivaidstreatmentmodelwithdifferentstages |