摘要：In this paper, we study an epidemic model with stage structure and latency spreading in a heterogeneous host population. We show that if the disease-free equilibrium exists, then the global dynamics are determined by the basic reproduction number R 0 $R_($ . We prove that the disease-free equilibrium is globally asymptotically stable when R 0 ≤ 1 $R_(\leq1$ ; and there exists a unique endemic equilibrium which is globally asymptotically stable when R 0 > 1 $R_(>1$ . The global stability of the endemic equilibrium is also proved by using a graph-theoretic approach to the method of Lyapunov functions. Finally, numerical simulations are given to illustrate the main theoretical results.
关键词：heterogeneous host ; epidemic model ; stage structure ; nonlinear incidence rate ; Lyapunov function
