Harvesting from a Population in a Stochastic Crowded Environment with Harvesting Cost

摘要：

We study the problem on optimal harvesting from a population in a stochastic crowded environment with harvesting cost. In this problem, the size of the population satisfy the stochastic logistic differential equation, which serves as a model for population growth in a stochastic environment with finite carrying capacity when harvesting is exercised. We consider the following problem: What harvesting strategy maximizes the expected discounted total harvested profit? We formulate this as a stochastic control problem and obtain the optimal harvesting strategy and the corresponding optimal harvesting profit function explicitly.

关键词： optimal harvesting problem stochastic control stochastic logistic differential equation harvesting cost local time

作者: Jihong Yuan Kunhui Liu

作者单位: School of Science, Beijing Jiaotong University, Beijing 100044, P.R.China

会议类型: 国际会议

会议名称: 首届伏化合系统生物学国际会议(The First International Symposium OSB07)

会议地点: 北京

会议语种:英文

页码: 459-467

在线出版日期: 2007-08-08（万方平台首次上网日期，不代表论文的发表时间）