Existence and global attractivity of positive periodic solutions for a generalized predator–prey system with time delay

By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for the generalized two-predator and one-prey system with time delay is established. Further, by constructing a Lyapunov functional and using the result in the existence part of positive periodic solutions, the attractivity of positive periodic solutions for the above system is obtained.