Stability of discrete-time delayed pathogen infection models with latently infected cells

Abstract

This paper studies the global stability of a class of discrete-time delayed pathogen infection models with both latently infected cells and actively infected cells. In the second model, the production and clearance rates of the cells and pathogens are given by general functions. Three discrete time delays are considered. The continuous-time models are discretized by using nonstandard finite difference scheme. The basic and global properties of the models are established. The global stability analysis of the equilibria is performed using Lyapunov method. The theoretical results are illustrated by numerical simulations.