Asymptotic behavior of an n-species stochastic Gilpin-Ayala cooperative model

作者：Liao, Baochao; Liu, Qun^*; Wang, Xiaohui; Zhang, Kui; Zhang, Jianxun; Memon, Khadim Hussain; Kalhoro, Muhsan Ali

来源：Stochastic Environmental Research and Risk Assessment, 2016, 30(1): 39-45.

DOI：10.1007/s00477-014-1019-8

• Stochastic Gilpin-Ayala cooperative model
• Global positive solution
• Sufficient condition
• Domain of attraction

An n-species stochastic Gilpin-Ayala cooperative model was investigated in this study. The Lyapunov function and the M-matrix method were applied to study the stability of the solutions. Sufficient conditions for the existence of a global positive solution of the Gilpin-Ayala cooperative model were established. Certain asymptotically stable results of a global positive solution of the cooperative model and its domain of attraction were estimated. That main objective of this study is to provide corrections for errors in some theorems given in the work of Lian et al. (2007). The errors of Theorems 2, 3, 5, and 6 from the published work appeared in the parameters theta(i) and p(ii).

• 出版日期2016-1
• 单位中国海洋大学; 宁波大学