用向量比较原理证明生态大系统的稳定性  

An Application of the Vector Comparison Theorem to the Stability of Large Scale Ecosystems

作　　者：郭志明[1] 

机构地区：[1]山西大学师范学院数计系

出　　处：《山西师大学报（自然科学版）》1997年第1期14-19,共6页Journal of Shanxi Teachers University(Natural Science Edition)

摘　　要：对于给定的几种群Lotka—Volterra生态大系统x_i=x_i(e_i+sun from j=1 to n(a_(ij)x_j)(i=1,2,…,n)(1)如果它的m个孤立于系统都具有Volterra 乘子D,则原生态大系统的稳定性可以由一个较低维的线性定常系统的稳定性得到.In this paper, the author discusses the following n species Lotka-Volterra e-cosystemThe author concluded that if all m isolated subsystems of system (1) have Volterra multipliers, the stability of the system (1) can be obtained according to the stability of a lower order relevant linear constant coefficient equation.

关 键 词：VOLTERRA乘子 向量比较原理 生态大系统 稳定性 

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