随机Volterra生态系统的稳定性

Stability of Stochastic Volterra Ecosystems

利用构造广义二次型作为随机李雅普诺夫函数的方法讨论了一般 n维随机 Volterra自治生态系统 :dyi=〔∑nj=1aij(y) fj(yj)〕dt+σi( y) dw( t) i=1 ,2 ,…n的全局渐近稳定性。

Global asymptotic stability of general n dimension stachastic volterra ecosystems: dy i=〔∑nj=1a ij (y)f j(y j)〕dt+σ i(y)dw(t) i=1,2...n is discussed by means of structure guadric form as stochastic Lyapunov function.