Positive solution and its asymptotic behaviour of stochastic functional Kolmogorov-type system

In general, population systems are often subject to environmental noise. This paper considers the stochastic functional Kolmogorov-type system d x ( t ) = diag ( x 1 ( t ) , … , x n ( t ) ) [ f ( x t ) d t + g ( x t ) d w ( t ) ] . Under the traditionally diagonally dominant condition, we study exis...

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 364; no. 1; pp. 104 - 118
Main Authors:	Wu, Fuke, Hu, Shigeng, Liu, Yue
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 01.04.2010 Elsevier
Subjects:	Exact sciences and technology Kolmogorov-type system Lotka–Volterra system Mathematical analysis Mathematics Moment average in time Numerical analysis Numerical analysis. Scientific computation Numerical methods in probability and statistics Sciences and techniques of general use Stochastic functional differential equations Stochastically ultimate boundedness Stochastically ultimate boundedness Kolmogorov-type system Stochastic functional differential equations Moment average in time Lotka–Volterra system Existence condition Asymptotic behavior Lotka-Volterra system Global solution Stochastic system Functional Mathematical analysis Positive solution Asymptotic solution Application
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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