A new contribution to periodic competition systems with delays

作者：Lisena Benedetta^*

来源：Nonlinear Analysis: Real World Applications , 2009, 10(4): 2256-2263.

DOI：10.1016/j.nonrwa.2008.04.007

• Delay differential systems
• Competition Lotka-Volterra systems
• Periodic solution
• Global attractivity

A delayed competition system of Lotka-Volterra type, with periodic coefficients, is considered. The topics of existence and global asymptotic stability of a periodic solution are investigated. The novelty of our results consists in the fact that they require only average conditions. In the study of global attractivity an unusual Lyapunov function is introduced. Our method takes advantage of the fact that there is no deviating argument in the negative feedback terms.

• 出版日期2009-8