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Matematicheskie Zametki, 2022, Volume 111, Issue 1, Pages 125–133
DOI: https://doi.org/10.4213/mzm13167 (Mi mzm13167) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Uniqueness of the Solution of the Inverse Problem for a Model of the Dynamics of an Age-Structured Population

A. Yu. Shcheglovab

a Shenzhen MSU-BIT University
b Lomonosov Moscow State University
Full-text PDF (441 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm13167
Abstract: For the McKendrick model of the dynamics of an age-structured population, we consider the inverse problem of reconstructing two coefficients of the model: in the equation and in the nonlocal boundary condition of integral form. The values of the solution on a part of the boundary are used as the additional information in the inverse problem. We obtain conditions for the sought coefficients to be uniquely determined. The derived integral formulas can be used to solve the inverse problem numerically by the iteration method, taking into account the fact that the inverse problem is ill posed.
Keywords: inverse problem, population dynamics model, age-structured model.
Received: 29.05.2021
Revised: 09.08.2021
English version:
Mathematical Notes, 2022, Volume 111, Issue 1, Pages 139–146
DOI: https://doi.org/10.1134/S0001434622010151
Bibliographic databases:
Document Type: Article
UDC: 519.633.6
Language: Russian
Citation: A. Yu. Shcheglov, “Uniqueness of the Solution of the Inverse Problem for a Model of the Dynamics of an Age-Structured Population”, Mat. Zametki, 111:1 (2022), 125–133; Math. Notes, 111:1 (2022), 139–146
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm13167
  • https://doi.org/10.4213/mzm13167
  • https://www.mathnet.ru/eng/mzm/v111/i1/p125
    • This publication is cited in the following 3 articles:
    1. A. Yu. Scheglov, S. V. Netesov, “Obratnaya zadacha dlya modeli razvitiya populyatsii s uchetom vozrasta organizmov i migratsionnykh potokov”, Sib. zhurn. vychisl. matem., 27:1 (2024), 113–120  mathnet  crossref
    2. A. Yu. Shcheglov, S. V. Netessov, “An Inverse Problem for an Age-Structured Population Dynamics Model with Migration Flows”, Numer. Analys. Appl., 17:1 (2024), 93  crossref  mathscinet
    3. Ali Ugur Sazaklioglu, “An iterative numerical method for an inverse source problem for a multidimensional nonlinear parabolic equation”, Applied Numerical Mathematics, 198 (2024), 428  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:73
    First page:19
     
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