Optimal Control for Age Distribution and Weighted Size Competitive Species in a Polluted Environment

作     者：WANG Zhanping 王战平

作者机构：School of Mathematics and StatisticsNingxia UniversityYinchuan 750021China 

出 版 物：《应用数学》 (Mathematica Applicata)

年 卷 期：2024年第37卷第4期

页      面：1014-1026页

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：Supported by the Natural Science Foundation of Ningxia(2023AAC03114) National Natural Science Foundation of China(72464026) 

主　　题：Optimal control Competitive species Pollution Maximum principle 

摘      要：In the paper,we study an optimal control for a system representing a competitive 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.