Global stability for an HIV/AIDS epidemic model with different latent stages and treatment |
| |
Authors: | Hai-Feng Huo Li-Xiang Feng |
| |
Affiliation: | Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, People’s Republic of China |
| |
Abstract: | An HIV/AIDS epidemic model with different latent stages and treatment is constructed. The model allows for the latent individuals to have the slow and fast latent compartments. Mathematical analyses establish that the global dynamics of the spread of the HIV infectious disease are determined by the basic reproduction number under some conditions. If R0 < 1, the disease free equilibrium is globally asymptotically stable, and if R0 > 1, the endemic equilibrium is globally asymptotically stable for a special case. Some numerical simulations are also carried out to confirm the analytical results. |
| |
Keywords: | HIV/AIDS Basic reproduction number Equilibrium Global stability |
本文献已被 ScienceDirect 等数据库收录! |