一类3种群相互作用的系统平衡位置的稳定性  

Stability of Balanced Position of Interactional System of a Kind of Three Populations

作　　者：李晓艳[1] 姚频[2] 

机构地区：[1]兰州交通大学,兰州730070 [2]兰州城市学院附属中学,兰州730070

出　　处：《重庆工学院学报》2007年第21期64-66,共3页Journal of Chongqing Institute of Technology

基　　金：国家自然科学基金资助项目(604730304)

摘　　要：研究了3种群相互作用构成的群落的Volterra模型,利用特征值法讨论正平衡点M的局部渐进稳定性,得到一个充要条件;同时构造V函数得到M点全局稳定的充分条件.This paperStudies the Volterra model which is composed of the interactions of three populations. The local progressive stability around the positive equilibrium point M is discussed by using characteristic Value law, and a necessary and sufficient condition is gained. Using matrix theory and constructing proper Liapunov functions, the sufficient conditions for global stability of point M are obtained simultaneously.

关 键 词：Volterra模型 正平衡点 局部渐进稳定 全局稳定 

分 类 号：O175.1[理学—数学]