Optimal Control of Forest Population System with Size Structure in Polluted Environment.
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| Title: | Optimal Control of Forest Population System with Size Structure in Polluted Environment. |
|---|---|
| Authors: | Qin, Fenghui1 (AUTHOR) qfh0507@163.com, Wang, Zhanping1 (AUTHOR) wang_zp@nxu.edu.cn |
| Source: | Journal of Optimization Theory & Applications. Jul2025, Vol. 206 Issue 1, p1-18. 18p. |
| Subjects: | Pontryagin's minimum principle, Hamilton's principle function, Systems theory, Applied mathematics |
| 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. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Optimization Theory & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 184872306 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Optimal Control of Forest Population System with Size Structure in Polluted Environment. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Qin%2C+Fenghui%22">Qin, Fenghui</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> qfh0507@163.com</i><br /><searchLink fieldCode="AR" term="%22Wang%2C+Zhanping%22">Wang, Zhanping</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> wang_zp@nxu.edu.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Optimization+Theory+%26+Applications%22">Journal of Optimization Theory & Applications</searchLink>. Jul2025, Vol. 206 Issue 1, p1-18. 18p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Pontryagin's+minimum+principle%22">Pontryagin's minimum principle</searchLink><br /><searchLink fieldCode="DE" term="%22Hamilton's+principle+function%22">Hamilton's principle function</searchLink><br /><searchLink fieldCode="DE" term="%22Systems+theory%22">Systems theory</searchLink><br /><searchLink fieldCode="DE" term="%22Applied+mathematics%22">Applied mathematics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Optimization Theory & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=184872306 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10957-025-02687-4 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 18 StartPage: 1 Subjects: – SubjectFull: Pontryagin's minimum principle Type: general – SubjectFull: Hamilton's principle function Type: general – SubjectFull: Systems theory Type: general – SubjectFull: Applied mathematics Type: general Titles: – TitleFull: Optimal Control of Forest Population System with Size Structure in Polluted Environment. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Qin, Fenghui – PersonEntity: Name: NameFull: Wang, Zhanping IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 00223239 Numbering: – Type: volume Value: 206 – Type: issue Value: 1 Titles: – TitleFull: Journal of Optimization Theory & Applications Type: main |
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