Stability of an HIV/AIDS treatment model with different stages
Summary: 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 \(R_0\). The disease-free equilibrium is globally asymptotically stable if \(R_0 < 1\). The endemic equilibrium is globally asymptotically stable if \(R_0 > 1\) for a special case. Numerical simulations are also conducted to support the analytic results.
scientific article; zbMATH DE number 7025431
scientific article