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

作者：Zhang, Xinhong; Wang, Ke^*

来源：APPLICABLE ANALYSIS, 2015, 94(12): 2588-2604.

DOI：10.1080/00036811.2014.996872

• Gilpin-Ayala model
• jumps
• moment boundedness
• asymptotic behavior
• 34F05
• 92D25
• 60H10
• 60H20

In this paper, a non-autonomous stochastic Gilpin-Ayala competition model with jumps is studied. We show that this model has a unique global positive solution under certain conditions, and establish sufficient conditions for stochastic ultimate boundedness. Asymptotic behavior of stochastic Gilpin-Ayala competition model with jumps is also discussed. Numerical examples are introduced to illustrate the results.

• 出版日期2015-12-2
• 单位中国石油大学（华东）; 哈尔滨工业大学; 东北师范大学