Global attractivity of positive periodic solution for a Volterra model

In this paper, by utilizing Mawhin’s continuation theorem and constructing suitable Lyapunov functional, a Volterra model with mutual interference and Holling II type functional response is studied. Some sufficient conditions are obtained for the existence, uniqueness and global attractivity of positive periodic solution of the model. Furthermore, the conditions are related to the interference constant m and an example is illustrated to verify the results by using Maple.