A stochastic delay Gilpin-Ayala competition system under regime switching

作者：Liu, Yiliang^*; Liu, Qun

来源：Filomat, 2013, 27(6): 955-964.

DOI：10.2298/FIL1306955L

• Stochastic perturbations
• Gilpin-Ayala competition system
• Delays
• Markovian switching

In this paper, a stochastic delay Gilpin-Ayala competition system under regime switching is proposed and studied. We show that there is a unique global positive solution of the system for any given positive initial value. Moreover, we show that the solution is stochastically ultimately bounded under some conditions. Finally, asymptotic moment estimation of the solution with respect to a large time behavior is derived.

• 出版日期2013
• 单位广西民族大学