Existence and global attractivity of positive periodic solution to a Lotka–Volterra model

In this paper, by using Mawhin’s continuation theorem and constructing a suitable Lyapunov functional, a Lotka–Volterra model with mutual interference and Holling III type functional response is studied. Some sufficient conditions are obtained for the existence, uniqueness and global attractivity of a positive periodic solution of the model. Furthermore, the conditions are related to the interference constant mm.