Asymptotic behavior of non-autonomous stochastic Gilpin-Ayala predator-prey model with jumps

作者：Zhang, Yanhua^*

来源：Journal of Nonlinear Sciences and Applications, 2017, 10(4): 2079-2093.

DOI：10.22436/jnsa.010.04.62

• Gilpin-Ayala predator-prey model
• jumps
• moment boundedness
• asymptotic behavior
• extinction

In this paper, a non-autonomous stochastic Gilpin-Ayala predator-prey model with jumps is studied. Firstly, we show that this model has a unique global positive solution under certain conditions. Then, we discuss the sufficient conditions for stochastically ultimate boundedness and obtain the asymptotic behavior of the solution. Finally, sufficient criteria for extinction of all prey and predator species, stochastic weak persistence in the mean of prey species are established.

• 出版日期2017
• 单位中国科学院海洋研究所; 中国科学院大学; 中国石油大学（北京）