Scholarlink

<p>In this paper, the optimal control problem of a forest population system with size structure in a polluted environment is established and studied by considering the influence of competition within the forest population on the size growth rate. The solution of the system is obtained by the characteristic line method, and the existence and uniqueness of the solution are proved by the fixed point theorem. The existence of the optimal control strategy is proved by the maximum sequence after introducing the separable model, and then the necessary conditions of the optimal control are obtained by means of Pontryagin’s maximum principle and Hamiltonian function.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Optimal Control of Forest Population System with Size Structure in Polluted Environment

  • 期刊论文

  • 发表日期：

    2025年4月30日

查看全文
  • Fenghui Qin,
  • Zhanping Wang

摘要

In this paper, the optimal control problem of a forest population system with size structure in a polluted environment is established and studied by considering the influence of competition within the forest population on the size growth rate. The solution of the system is obtained by the characteristic line method, and the existence and uniqueness of the solution are proved by the fixed point theorem. The existence of the optimal control strategy is proved by the maximum sequence after introducing the separable model, and then the necessary conditions of the optimal control are obtained by means of Pontryagin’s maximum principle and Hamiltonian function.