OPTIMAL HARVESTING AND PLANTING CONTROL IN STOCHASTIC LOGISTIC POPULATION MODELS

被引：0
|
作者：
Morimoto, Hiroaki [1 ]
机构：
[1] Matsuyama Univ, Dept Econ, Matsuyama, Ehime 7908578, Japan
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2012年 / 17卷 / 07期
关键词：
Optimal harvesting; planting; stochastic logistic model; variational inequality; viscosity solution; DIFFERENTIAL-EQUATIONS;
D O I：
10.3934/dcdsb.2012.17.2545
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the optimal harvesting and planting control problem to maximize the expected total net benefits in the stochastic logistic population model. The variational inequality associated with this problem is given by the degenerate form of elliptic type with quadratic coefficients. Using the viscosity solutions technique, we solve the corresponding penalty equation and show the existence of a solution to the variational inequality. The optimal harvesting and planting policy is characterized in terms of two thresholds for the variational inequality.
引用
收藏
页码：2545 / 2559
页数：15
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