Turkish Journal of Mathematics
Article Title
Stationary distribution and global asymptotic stability of a three-species stochastic food-chain system
DOI
10.3906/mat-1510-52
Abstract
This paper intends to study some dynamical properties of a stochasticthree-dimensional Lotka--Volterra system. Under some mild assumptions, we first introduce a simple method to show thatthe model has a global and positive solution almost surely. Secondly,we prove that this model has a stationary distribution. Then we study the global asymptoticstability of the positive solution. Finally, some numerical simulations are introduced toillustrate the theoretical results.
Keywords
Stochastic food-chain model, stationary distribution, global asymptotic stability
First Page
1292
Last Page
1307
Recommended Citation
QIU, HONG and DENG, WENMIN
(2017)
"Stationary distribution and global asymptotic stability of a three-species stochastic food-chain system,"
Turkish Journal of Mathematics: Vol. 41:
No.
5, Article 18.
https://doi.org/10.3906/mat-1510-52
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss5/18
