A note on asymptotic behaviors of stochastic population model with Allee effect

作者：Yang, Qingshan^*; Jiang, Daqing

来源：Applied Mathematical Modelling, 2011, 35(9): 4611-4619.

DOI：10.1016/j.apm.2011.03.034

• Allee effect
• Asymptotic stability
• Fellers test
• Ito's formula

This paper analyzes the asymptotic behaviors of the stochastic population model with the Allee effect. We apply the Feller's test to obtain the criteria of the asymptotic behaviors for this model and compare our results with those obtained by Lyapunov functions. At last, the numerical simulations conform our results.

• 出版日期2011-9
• 单位东北师范大学