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 $R_0\le 1$, 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.