Pathwise estimation of stochastic functional Kolmogorov-type systems with infinite delay

Journal of inequalities and applications

Enwen Zhu¹ 

关键词: stochastic functional Kolmogorov systems;    Lotka-Volterra systems;    pathwise estimation;    infinite delay;   

DOI  :  10.1186/1029-242X-2012-171

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study pathwise estimation of the global positive solutions for the stochastic functional Kolmogorov-type systems with infinite delay. Under some conditions, the growth rate of the solutions for such systems with general noise structures is less than a polynomial rate in the almost sure sense. To illustrate the applications of our theory more clearly, this paper also discusses various stochastic Lotka-Volterra-type systems as special cases. MSC:34K50, 60H10, 92D25, 93E03.

【 授权许可】

CC BY