An Optimal Stopping Problem for Jump Diffusion Logistic Population Model

作者：Sun, Yang^*; Ai, Xiaohui

来源：Mathematical Problems in Engineering, 2016, 2016: 5839672.

DOI：10.1155/2016/5839672

• OPTIMAL HARVESTING POLICY
• STABILITY

This paper examines an optimal stopping problem for the stochastic(Wiener-Poisson) jump diffusion logistic population model. We present an explicit solution to an optimal stopping problem of the stochastic (Wiener-Poisson) jump diffusion logistic population model by applying the smooth pasting technique (Dayanik and Karatzas, 2003; Dixit, 1993). We formulate this as an optimal stopping problem of maximizing the expected reward. We express the critical state of the optimal stopping region and the optimal value function explicitly.

• 出版日期2016
• 单位东北林业大学; 哈尔滨学院