Existence and global attractivity of positive periodic solutions for a Holling II two-prey one-predator system

摘要

In this paper, a Holling II two-pery one-predator system is investigated. Based on the continuation theorem of coincidence degree theory and by constructing a suitable Lyapunov function, we derive a set of sufficient conditions that guarantee the existence of at least a positive periodic solution and global attractivity of periodic solutions. Mathematics Subject Classification 2000: 34K20; 34C25