Global dynamics of a periodic viral infection model incorporating diffusion and antiretroviral therapy.

Autor: Xu, Jinhu
Předmět:
Zdroj: International Journal of Biomathematics; Aug2024, Vol. 17 Issue 6, p1-32, 32p
Abstrakt: 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]
Databáze: Complementary Index