Periodic Solutions for Impulsive Differential Equations Model of Plankton Allelopathy

摘要：

In this paper, we study a modified impulsive Lotka-Volterra competition model which involves interactions between two species of plankton having competitive and allelopathic effects on each other. The species grow in a periodically changing environment with instantaneous changes in the population densities.The mathematical model is described by a periodic impulsive differential equations. A monotone-iterative scheme is established for finding the periodic solution of the model, a set of easily verifiable sufficient conditions are obtained for the existence of at least one strictly positive periodic solution. Some computer simulations are carried out to demonstrate the main results.

关键词： Allelopathy Impulse differential equations Monotone-iterative technique Periodic.

作者: Guohua Song ZeYu Li

作者单位: Department of Basic Sciences, Beijing University of Civil Engineering and Architecture,Beijing 100044, China

会议类型: 国际会议

会议名称: The 1st International ELID-Grinding Conference(第一届镜面磨削技术国际会议)

会议地点: 长沙

会议语种:英文

页码: 930-936

在线出版日期: 2008-06-12（万方平台首次上网日期，不代表论文的发表时间）