Optimal harvesting of a stochastic delay logistic model with Levy jumps
Optimal harvesting of a stochastic delay logistic model with Levy jumps
复制标题
带 Levy 跳跃的随机延迟逻辑模型的最优收获
DOI：
10.1088/1751-8113/49/40/405601
复制
发表时间：
2016
影响因子：
2.1
通讯作者：
Deng Wenmin
中科院分区：
文献类型：
--
作者：
Qiu Hong;Deng Wenmin
研究了一类具有lsamvy跃变的随机时滞logistic模型的最优收获问题。我们首先证明了该模型具有唯一的全局正解，并讨论了它的第p阶矩的一致有界性。然后证明了在我们的假设下，系统在分布上是全局吸引和渐近稳定的。在此基础上，利用遍历法得到了最优收获努力的存在性，并给出了最优收获策略和最大产量的显式表达式。
The optimal harvesting problem of a stochastic time delay logistic model with Lévy jumps is considered in this article. We first show that the model has a unique global positive solution and discuss the uniform boundedness of its pth moment with harvesting. Then we prove that the system is globally attractive and asymptotically stable in distribution under our assumptions. Furthermore, we obtain the existence of the optimal harvesting effort by the ergodic method, and then we give the explicit expression of the optimal harvesting policy and maximum yield.