An optimal stopping problem in the stochastic Gilpin-Ayala population model

作者：Ai, Xiaohui^*; Sun, Yang

来源：Advances in Difference Equations, 2012, 2012(1): 210.

DOI：10.1186/1687-1847-2012-210

• optimal stopping time
• stochastic Gilpin-Ayala population model
• smooth pasting technique

We present an explicit solution to an optimal stopping problem of the stochastic Gilpin-Ayala population model by applying the smooth pasting technique (Dixit in The Art of Smooth Pasting, 1993 and Dixit and Pindyck in Investment under Uncertainty, 1994). The optimal stopping rule is to find an optimal stopping time and an optimal stopping boundary of maximizing the expected discounted reward, which are given in this paper explicitly.

• 出版日期2012
• 单位哈尔滨学院; 哈尔滨工业大学