Global Analysis of a Delayed Impulsive Lotka-Volterra Model with Holling III Type Functional Response

Abstract EN

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.