混合三种群Volterra系统周期解的存在性与稳定性  

Existence and Stability of Positive Periodic Solution for a Three Species Lotka Volterra Model

作　　者：韩新焕[1] 杨霞[1] 黄安[1] 

机构地区：[1]石河子大学师范学院数学系,石河子832003

出　　处：《石河子大学学报（自然科学版）》2000年第2期155-158,共4页Journal of Shihezi University(Natural Science)

摘　　要：研究了一类三种群Lotka Volterra模型 :种群A、B间是竞争关系 ,种群C以A、B为食。同时用微分不等式解的性质及Brouwer不动点定理 。Existence and stability of periodic solution have played important role in investigation of population dynamic.In this paper,we inrerstigate a three species Lotka Volterra systems in which systems Aand B are competting,system C feeds on A and B.The paper uses Brouwer fixed theorem and certain difference inequalities proves that the model has a positive periodic solution which has an all round progressively stability under the appropriate conditions.\;

关 键 词：存在性 稳定性 周期解 三种群Volterra系统 

分 类 号：Q141[生物学—生态学] O175.13[生物学—普通生物学]