Study on age-structured epidemic models of environmental transmission and relapse
Based on the compartment age (i.e.age-class structure)of latent,restorer and viruses in the environment,a multi-age-structured vector-borne infectious disease model with environmental transmission and recurrence is proposed,the exact expression of the basic reproduction number R0 is given the global dynamics of the model is studied by constructing Lyapunov function.The results show that when R0<1,the disease-free equilibrium is globally asymptotically stable and when R0>1,the endemic equilibrium is globally asymptotically stable.