On an inverse coefficient problem for a drug war reaction-diffusion system via an optimization approach.
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| Title: | On an inverse coefficient problem for a drug war reaction-diffusion system via an optimization approach. |
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| Authors: | Zhang, Zhaoqi1,2, Sun, Liangliang1 sunll0321@163.com |
| Source: | Mathematical Modelling & Analysis. 2026, Vol. 31 Issue 3, p521-541. 21p. |
| Subjects: | Inverse problems, Optimal control theory, Epidemiological models, Stability criterion, Optimization algorithms, Reaction-diffusion equations, Lipschitz continuity |
| Abstract: | In this paper, we study a coefficients inversion problem of a coupled system controlled by three reaction-diffusion equations describing a simple dynamic model of a drug epidemic in an idealized community from the final measurement data. Firstly, the optimization theory is used to transform the given problem into an optimal control problem, and the existence of minimizer is established. Then the stability estimates of the Lipschitz type for the three spatially varying coefficients are proved, where the upper bounds are given by some Lebesgue norms of the final measure. [ABSTRACT FROM AUTHOR] |
| Copyright of Mathematical Modelling & Analysis is the property of Vilnius Gediminas Technical University 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 |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 194823836 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On an inverse coefficient problem for a drug war reaction-diffusion system via an optimization approach. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Zhaoqi%22">Zhang, Zhaoqi</searchLink><relatesTo>1,2</relatesTo><br /><searchLink fieldCode="AR" term="%22Sun%2C+Liangliang%22">Sun, Liangliang</searchLink><relatesTo>1</relatesTo><i> sunll0321@163.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Mathematical+Modelling+%26+Analysis%22">Mathematical Modelling & Analysis</searchLink>. 2026, Vol. 31 Issue 3, p521-541. 21p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Inverse+problems%22">Inverse problems</searchLink><br /><searchLink fieldCode="DE" term="%22Optimal+control+theory%22">Optimal control theory</searchLink><br /><searchLink fieldCode="DE" term="%22Epidemiological+models%22">Epidemiological models</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+criterion%22">Stability criterion</searchLink><br /><searchLink fieldCode="DE" term="%22Optimization+algorithms%22">Optimization algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Reaction-diffusion+equations%22">Reaction-diffusion equations</searchLink><br /><searchLink fieldCode="DE" term="%22Lipschitz+continuity%22">Lipschitz continuity</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we study a coefficients inversion problem of a coupled system controlled by three reaction-diffusion equations describing a simple dynamic model of a drug epidemic in an idealized community from the final measurement data. Firstly, the optimization theory is used to transform the given problem into an optimal control problem, and the existence of minimizer is established. Then the stability estimates of the Lipschitz type for the three spatially varying coefficients are proved, where the upper bounds are given by some Lebesgue norms of the final measure. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Mathematical Modelling & Analysis is the property of Vilnius Gediminas Technical University 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.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3846/mma.2026.24516 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 21 StartPage: 521 Subjects: – SubjectFull: Inverse problems Type: general – SubjectFull: Optimal control theory Type: general – SubjectFull: Epidemiological models Type: general – SubjectFull: Stability criterion Type: general – SubjectFull: Optimization algorithms Type: general – SubjectFull: Reaction-diffusion equations Type: general – SubjectFull: Lipschitz continuity Type: general Titles: – TitleFull: On an inverse coefficient problem for a drug war reaction-diffusion system via an optimization approach. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Zhang, Zhaoqi – PersonEntity: Name: NameFull: Sun, Liangliang IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: 2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 13926292 Numbering: – Type: volume Value: 31 – Type: issue Value: 3 Titles: – TitleFull: Mathematical Modelling & Analysis Type: main |
| ResultId | 1 |
