Applications of Boundary Value Problem and Impulsive Effects to Control Harmful Species

摘要：

A predator-prey model with impulsive effect concerning biological strategy as well as chemical strategy is proposed and analyzed, at the same time, the application of boundary value problem to the system of two species with impulsive control in finite time are investigated. In this paper, the short-term managements of species are investigated by means of the theory of impulsive differential equations and boundary value problem, the comparison principle, the upper and lower solutions. By the comparison principle, the conditions under which the model has a solution are found by a series of the upper solutions and the conditions under which the model has no solution are also given by a series of the lower solutions.

关键词： Lotka-volterra predator model Boundary Value Problems Impulsive effect Upper and lower solutions Comparison Principle

作者: Zhongyi Xiang Dan Long Yuanmiao Zhang

作者单位: Department of Mathematics, Hubei University for Nationalities Enshi,China

会议类型: 国际会议

会议名称: 2011 International Conference on Electronics and Optoelectronics(2011电子学与光电子学国际会议 ICEOE 2011)

会议地点: 大连

会议语种:英文

页码: 331-334

在线出版日期: 2011-07-29（万方平台首次上网日期，不代表论文的发表时间）