Abstract
The spread of HIV infection one of which is affected by cell to cell transmission. A dynamical model of HIV-1 infection in CD4+T cells with considering viral transmission from cell to cell and antibody response is constructed in this paper. Antibody response determines viral load in early HIV-1 infection. The existence and stability of the equilibrium is investigated by the basic reproduction ratio. The local stability of uninfected equilibrium is analyzed using Routh Hurwitz linearization. After investigating the local stability, we construct a Lyapunov function to investigate the global stability of endemic equilibrium. Numerical simulation is given to illustrate the control of HIV-1 infection based on the effect of antibody response and the effectiveness of antiretroviral treatment.
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