Abstract
In this paper we stochastically perturb the functional Kolmogorov-type system
(x) over dot(t) = diag(x(1)(t).....x(n)(t))f(x(t))
into the stochastic functional differential equation
dx(t) = diag(x(1)(t)....x(n)(t))[f(x(t))dt + g(x(t))dw(t)].
This paper studies existence and uniqueness of the global positive solution, and its asymptotic bound properties and moment average in time. These properties are natural requirements from the biological point of view. As the special cases, we discuss the various stochastic Lotka-Volterra systems.
Original language | English |
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Pages (from-to) | 534 - 549 |
Number of pages | 16 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 347 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2008 |
Externally published | Yes |