Abstract:
A vector-borne disease transmission model with nonlinear incidence rate and time delay was established and studied. The expression of basic reproduction number
R0 was derived by using Jacobian matrix and spectral radius as tools. If
R0<1, then the model had an unique globally asymptotically stable disease-free equilibrium, and the disease would fade away. If
R0>1, then the model had an unique endemic equilibrium, and the conditions for the asymptotic stability of the equilibrium were analyzed.