Global dynamics of a discrete viral infection model with time delay, virus-to-cell and cell-to-cell transmissions

Abstract

We present a nonstandard finite difference scheme for a delayed viral infection model with virus-to-cell and cell-to-cell transmissions. We prove that the system is permanent if the basic reproduction number . Then we show that the infection-free equilibrium is globally asymptotically stable if , and the infection equilibrium is globally asymptotically stable if . Numerical simulations are presented to illustrate our theoretical results.