- Turkish Journal of Mathematics
- Vol: 41 Issue: 5
- Stationary distribution and global asymptotic stability of a three-species stochastic food-chain sys...
Stationary distribution and global asymptotic stability of a three-species stochastic food-chain system
Authors : Hong Qiu, Wenmin Deng
Pages : 1292-1307
View : 7 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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