摘要
讨论了一类具有Holling-(n+1)型功能反应函数的捕食模型受到环境噪音的干扰的问题,借助构造Lyapunov函数的方法,证明了该类系统正解不会在有限时间内爆破以及它的全局存在性。
In this paper we discuss a randomized predator-prey system with Holling- (n+ 1 ) functional response. With the Lyapunov function method, we show that the positive solution of this system does not explode to infinity in a finite time. In addition, the existence and uniqueness of the global positive solutions are studied.
出处
《南京工业职业技术学院学报》
2009年第4期16-18,共3页
Journal of Nanjing Institute of Industry Technology
关键词
布朗运动
伊藤公式
Holling-(n+1)型捕食模型
存在唯一性
Brownian motion
Ito's formula
randomized predator-prey system with Holling- (n+ 1 ) functional response
existence and uniqueness