The West Nile virus epidemic model with exponential birth rate for mosquito and Logistic growth for host was built.The basic reproduction number of the model was obtained and the existence of equilibrium were discussed.If the basic reproduction number is less than one,then the system have two epidemic equilibria or no epidemic equilibrium,if the basic reproduction number is greater than one,then the system has a unique epidemic equilibrium or have three epidemic equilibria.The stability of disease-free equilibria were discussed.
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