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- Title
Asymptotic Properties of Stochastic Functional Kolmogorov-Type System.
- Authors
Fuke Wu; Yangzi Hu
- Abstract
In general, population systems are often subject to environmental noise. To examine whether the presence of such noise affects population systems significantly, this paper stochastically perturbs the functional Kolmogorov-type system into the stochastic functional differential equation This paper studies existence and uniqueness of the global positive solution of this stochastic system, its asymptotic boundedness and gives asymptotic pathwise estimation. These properties are natural requirements from the biological point of view.
- Subjects
KOLMOGOROV complexity; ELECTRONIC data processing; MACHINE theory; STOCHASTIC processes; STOCHASTIC systems; FUNCTIONAL equations; SYSTEM analysis
- Publication
Acta Applicandae Mathematicae, 2009, Vol 106, Issue 2, p251
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-008-9293-4