摘要
利用脉冲系统的线性近似判定的方法对一个具有功能反应函数为x的食饵-捕食者3种群捕食链生物模型进行了研究,通过脉冲控制得到了使原先不稳定的正平衡点渐近稳定的充分条件,从而使该种群达到了一个新的适宜各物种持续共存、发展的稳定状态,并通过实例进行了证明。最后给出了生态解释。
This paper studied a predator-prey ecosystem with functional reaction function √x by using the linear approximate method of impulsive control system. Then it gave the sufficient condition for this system＇s unstable positive equilibrium to approach asymptotic stability by the impulsive control. So the species arrived at a new stable state in which they could sustainably develop. And an example was given to prove this method. Finally, the paper gave the ecological explanation.
出处
《江苏工业学院学报》
2006年第2期49-52,共4页
Journal of Jiangsu Polytechnic University
基金
国家自然科学基金重点资助项目(60234010)
关键词
生态系统
脉冲微分方程
脉冲控制
ecological system
impulsive differential equation
impulsive control
