The WNV epidemic model with constant birth rate for host and Logistic growth for mosquito was built.The basic reproduction number of the model was obtained by using the method of van den Driessche and Watmough

and the existence and stability of equilibria were discussed.Then the results of the study show that when disease-induced death rate is greater than recovery rate

if the basic reproduction number is greater than 1

then the system has a unique epidemic equilibrium and is locally asymptotically stable

if the basic reproduction number is less than 1

then the system have two epidemic equilibria

one of them is a saddle point;when disease-induced death rate is less than recovery rate

if the basic reproduction number is greater than 1

then the system has a unique epidemic equilibrium and is locally asymptotically stable

if the basic reproduction number is less than 1

there is no endemic equilibrium.