Existence of Positive Periodic Solution of an Impulsive Delay Competition System

摘要：

In this paper, we study the existence of positive periodic solution and permanence of an impulsive delay competition system in a periodically changing environment. The mathematical problem involves a coupled Lotka-Volterra system together with time delay and impulse conditions. Based on the results obtained for the corresponding logistic equation, a monotone-iterative scheme is established to obtain the existence of the positive periodic solutions of the competition system. Moreover, we also show that the system is permanent under the appropriate conditions. We extend and improve some results given in 1.

关键词： periodic positive solution permanence Lotka-Volterra competition system impulse delay argument

作者: Lala Lu Jiawei Dou

作者单位: College of Mathematics and Information Science,Shaanxi Normal University,Xian 710062 China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 831-836

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）