Stability analysis of immune impairment pathogen dynamics model with two routes of infection and Holling type-II function

Abstract

We study a pathogen infection model with immune impairment. The infected-susceptible and pathogen-susceptible incidence rates are given by Holling type-II. The existence and global stability of the equilibria are determined by the basic reproduction number. The global stability of the two equilibria are proven using Lyapunov method. We conduct numerical simulations to support the theoretical results.