Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619603 | Journal of Mathematical Analysis and Applications | 2010 | 15 Pages |
Abstract
In general, population systems are often subject to environmental noise. This paper considers the stochastic functional Kolmogorov-type systemdx(t)=diag(x1(t),…,xn(t))[f(xt)dt+g(xt)dw(t)]. Under the traditionally diagonally dominant condition, we study existence and uniqueness of the global positive solution of this stochastic system, and its asymptotic bound properties and moment average boundedness in time. These properties are natural requirements from the biological point of view. As the special cases, we also discuss some stochastic Lotka–Volterra systems.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fuke Wu, Shigeng Hu, Yue Liu,