Asymptotic behavior of a stochastic Gilpin-Ayala predator-prey system with time-dependent delay

作者：Vasilova Maja^*

来源：Mathematical and Computer Modelling, 2013, 57(3-4): 764-781.

DOI：10.1016/j.mcm.2012.09.002

• Gilpin-Ayala predator-prey model
• Time-dependent delay
• Non-autonomous system
• Brownian motion
• Asymptotic behavior

A stochastic Gilpin-Ayala predator-prey model with time-dependent delay is studied in this paper. We establish sufficient conditions for the existence of a global positive solution of the considered system. Then, we prove stochastically ultimate boundededness and obtain certain asymptotic results regarding the long-time behavior of trajectories of the solution. Also, sufficient criteria for extinction of species for a special case of the considered system are given. At the end, numerical simulations are carried out to support our results.

• 出版日期2013-2