摘要
研究了一类功能反应函数为x且捕食者具有常数收获率的食饵-捕食生物模型的稳定性问题.利用脉冲微分方程的比较原理,对该模型进行脉冲控制,得到了当常数收获率充分小时非负平衡点渐近稳定的充分条件.采用数值举例方法说明了该方法的有效性,并给出了生态解释.
The paper studies the stable problem of a predator-prey ecosystem. The system has both functional reaction function √x and prey＇s harvest- ratio. The model is controlled impulsively by using comparison theorem of impulsive differential system. The sufficient condition for thi constant harvest s system＇s unstable positive equilibrium to asymptotic stability is obtained when ratio is small enough. The method is very effective based on the example in number. The paper also presents ecological explanation.
出处
《江南大学学报（自然科学版）》
CAS
2007年第5期514-517,共4页
Joural of Jiangnan University (Natural Science Edition)
基金
国家自然科学基金项目(60234010)
关键词
脉冲微分方程
脉冲控制
食饵-捕食系统
收获模型
impulsive differential system
impulsive control
predator-prey system
harvest model
