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Stability of an HIV/AIDS Treatment Model with Different Stages

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  • Hai-Feng Huo
  • Rui Chen

Abstract

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 . The disease-free equilibrium is globally asymptotically stable if . The endemic equilibrium is globally asymptotically stable if for a special case. Numerical simulations are also conducted to support the analytic results.

Suggested Citation

  • Hai-Feng Huo & Rui Chen, 2015. "Stability of an HIV/AIDS Treatment Model with Different Stages," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-9, May.
    • Handle: RePEc:hin:jnddns:630503
    DOI: 10.1155/2015/630503
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