Existence of measure-valued solutions in optimal control age-structured populations
Existence of measure-valued solutions in optimal control age-structured populations
复制标题
最优控制年龄结构群体中测值解的存在性
DOI：
10.1080/00036811.2021.1981876
复制
发表时间：
2021
影响因子：
1.1
通讯作者：
and Y. Yatsenko
中科院分区：
文献类型：
--
作者：
N. Hritonenko;N. Kato;and Y. Yatsenko
研究了描述农业和水产养殖业养殖种群的年龄结构收获种群的Lotka-McKendrick模型的一个非线性利润最大化问题。控制函数是与时间和年龄相关的采收率和与时间相关的新生儿供应。利用有界变差函数的分布偏导数，通过对原问题的等价积分形式，建立了具有测量值收获率的最优控制的存在性。
We consider a nonlinear profit maximization problem in the Lotka–McKendrick model of age-structured harvested population describing farmed populations in agriculture and aquaculture. The control functions are time- and age-dependent harvesting rate and time dependent supply of newborns. We establish the existence of optimal controls with measure-valued harvesting rate by using distributional partial derivatives of functions of bounded variation through the equivalent integrated form to the original problem.