1. Global dynamics of a periodic viral infection model incorporating diffusion and antiretroviral therapy.
- Author
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Xu, Jinhu
- Subjects
- *
ANTIRETROVIRAL agents , *VIRUS diseases , *GLOBAL asymptotic stability , *BASIC reproduction number , *DRUG efficacy - Abstract
A new viral infection model with cell-to-cell infection and periodic antiretroviral therapy was proposed and analyzed. With the help of defined basic reproduction number ℜ 0 , we proved that if ℜ 0 < 1 , then the infection-free steady state is globally attractive. If ℜ 0 > 1 , then the infection is uniformly persistent. Furthermore, the globally asymptotical stability of infection-free steady state has been established for the critical case of ℜ 0 = 1. Also, the global asymptotic stability of the infection steady state for a special case of the model has been established by applying the method of Lyapunov. Numerical simulations show that increasing the drug efficacy for blocking virus-to-cell infection, cell-to-cell infection and producing non-infectious virus contributes to weakening the severity of viral infection. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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