应用数学2024，Vol.37Issue(4)：1014-1026,13.
污染环境中具有年龄分布和加权竞争种群的最优控制
Optimal Control for Age Distribution and Weighted Size Competitive Species in a Polluted Environment
摘要
Abstract
In the paper,we study an optimal control for a system representing a compet-itive species model with fertility and mortality depending on a weighted size in a polluted environment.A fixed point theorem is applied to obtain the existence and uniqueness exhibited by a non-negative solution of above mentioned model.A maximum principle helps to carefully verify the existence of the optimal control policy,and tangent-normal cone techniques help to obtain the optimal condition specific to control issue.关键词
最优控制/竞争种群/污染/极大值原理Key words
Optimal control/Competitive species/Pollution/Maximum principle分类
数理科学引用本文复制引用
王战平..污染环境中具有年龄分布和加权竞争种群的最优控制[J].应用数学,2024,37(4):1014-1026,13.基金项目
Supported by the Natural Science Foundation of Ningxia(2023AAC03114),National Natural Science Foundation of China(72464026). （2023AAC03114）
