Global stability of multi-group vaccination epidemic models with delays

摘要

In this paper, we investigate a class of multi-group vaccination epidemic models with delays. We show that the global dynamics are determined by the threshold criterion σ(A). We present that when σ(A)<0, there is a unique disease-free equilibrium which is globally asymptotically stable; when σ(A)>0, there exists a unique endemic equilibrium and it is globally asymptotically stable proved by a graph-theoretic approach to the method of global Lyapunov functionals.