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| Stability in a Multi-stage HIV Infection Model with General Incidence Rate |
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| KeyWord:Multi-stage models, Lyapunov, incidence, stability |
| Author Name | Affiliation | | Ruiwen Yang | Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, China | | Xiaofei Wei | Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, China | | Jiemei Li | Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, China |
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| Abstract: |
| In this paper, we propose a multi-stage HIV infection model with general incidence rate to describe the influence of raltegravir intensification on viral dynamics. The basic reproduction number $R_0$ is established. The infection-free equilibrium\ $E_0$\ is locally asymptotically stable if $R_0<1$. The infection equilibrium\ $E^*$\ is locally asymptotically stable if $R_0>1$. |
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