Global stability of multigroup dengue disease transmission model

Abstract

We investigate a class of multigroup dengue epidemic model. We show that the global dynamics are determined by the basic reproductive number R 0. We present that when R 0 1, there is a unique disease-free equilibrium which is globally asymptotically stable; when R 0 1, there exists a unique endemic equilibrium and it is globally asymptotically stable proved by a graph-theoretic approach to the method of global Lyapunov function. Copyright © 2012 Deqiong Ding et al.