【摘要】 本文考虑非线性随机扰动下的生态种群的问题.首先给出全局正解的存在性.其次,在合理的条件下讨论随机最终有界和随机持久问题,同时也给出解的渐近估计.更多还原

【Abstract】 In this paper,we consider a non-autonomous biological population under nonlinear random perturbation dxi(t)=xi(t)[(bi(t)-sum (aij(t)xj(t)) from i=1 to n)dt+σi(t)xθi8i(t)dBi(t)],i=1,2,…,n.First we give the sufficient condition for the existence of global positive solutions.Stochastic ultimately boundedness and stochastic permanence are obtained under some assumptions,as well as some asymptotical properties are estimated.更多还原