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

Fenghui Qin () and Zhanping Wang ()
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Fenghui Qin: Ningxia University
Zhanping Wang: Ningxia University

Journal of Optimization Theory and Applications, 2025, vol. 206, issue 1, No 1, 18 pages

Abstract: Abstract 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.

Keywords: Polluted environment; Size structure; Forest population system; Optimal control; Pontryagin’s maximum principle; 49K20; 92D25; 93C20 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-025-02687-4

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