I型随机大生态系统的稳定性

Ecological stability of I type stochastic large scule ecosystem

讨论由 Ito∧型随机微分方程d X(t) =b(t,X(t) ) dt+σ(t,X(t) ) d W(t)所描述的随机大生态系统 ,运用分解——集结法和首次利用混合拟单调流得到了大系统的随机 (强 )生态稳定 〔1〕的判据。

In this paper,stochastic large Scale ecosystems which are described by It o∧ S.D.E dX(t)=b(t,X(t))+σ(t,X(t))dW(t) are discussed.Two theorms of stochastic(strong) ecological stabilities 〔1〕 are acquired by using methods of decomposetion--concentration and mixed quasimonotonic for the first time.