Global analysis of a delayed impulsive Lotka-Volterra model with Holling III type functional response (Q1665761)

Summary: A delayed impulsive Lotka-Volterra model with Holing III type functional response was established. With the help of Mawhin's Continuation Theorem in coincidence degree theory, a sufficient condition is found for the existence of positive periodic solutions of the system under consideration. By applying the comparison theorem and constructing a suitable Lyapunov functional, the permanence and global attractivity of the model are proved. Two numerical simulations are also given to illustrate our main results.