Abstract
In general, population systems are often subject to environmental noise. This paper considers the stochastic functional Kolmogorov-type system
dx(t) = diag(x(1)(t), ... , x(n)(t))[f(x(t))dt + g(x(t))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.
Original language | English |
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Pages (from-to) | 104 - 118 |
Number of pages | 15 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 364 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2010 |
Externally published | Yes |