Dynamical analysis of an SIRS network model with direct immunization and infective vector

Abstract

With the awareness of risk in infective disease spreading, healthy individuals (the susceptible ones) will take some measures to acquire temporary immunity. This paper addresses an SIRS model with direct immunization and an infective vector in complex networks and performs the dynamical analysis for this model. By theoretical analysis, we obtain the epidemic threshold λc$\lambda_{c}$ and prove that if infection rate λ λc$\lambda> \lambda_{c}$, there exists a unique endemic equilibrium, and it is globally attractive. These theoretical results are confirmed by numerical simulations.