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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2024, Volume 27, Number 1, Pages 113–120
DOI: https://doi.org/10.15372/SJNM20240109 (Mi sjvm865) 		 
The inverse problem for a age-structured population dynamics model with account to migration flows

A. Yu. Shcheglovab, S. V. Netesovb

a MSU-PPI University in Shenzhen, Shenzhen, China
b Lomonosov Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.15372/SJNM20240109
Abstract: An inverse problem of reconstructing a coefficient in the differential equation of a model of development for a homogeneous biological population of organisms structured by age is considered. The model takes into account the impact of migration flows on population size changes. Conditions are established to ensure the uniqueness of the solution of the inverse problem. A brief overview of algorithms for the numerical solution of the inverse problem is provided.
Key words: inverse problem, age structuring, migration flows, Volterra integral equations.
Funding agency Grant number
National Natural Science Foundation of China 12171036
Beijing Natural Science Foundation Z210001
This work was supported by the National Natural Science Foundation of China (project no. 12171036) and Beijing Natural Science Foundation (Key Project no. Z210001).
Received: 18.09.2023
Revised: 18.09.2023
Accepted: 18.09.2023
English version:
Numerical Analysis and Applications, 2024, Volume 17, Issue 1, Pages 93–98
DOI: https://doi.org/10.1134/S1995423924010099
Bibliographic databases:
Document Type: Article
UDC: 519.633.6
Language: Russian
Citation: A. Yu. Shcheglov, S. V. Netesov, “The inverse problem for a age-structured population dynamics model with account to migration flows”, Sib. Zh. Vychisl. Mat., 27:1 (2024), 113–120; Num. Anal. Appl., 17:1 (2024), 93–98
Citation in format AMSBIB
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\paper The inverse problem for a age-structured population dynamics model with account to migration flows
\jour Sib. Zh. Vychisl. Mat.
\yr 2024
\vol 27
\issue 1
\pages 113--120
\mathnet{http://mi.mathnet.ru/sjvm865}
\crossref{https://doi.org/10.15372/SJNM20240109}
\edn{https://elibrary.ru/ZWDQMJ}
\transl
\jour Num. Anal. Appl.
\yr 2024
\vol 17
\issue 1
\pages 93--98
\crossref{https://doi.org/10.1134/S1995423924010099}
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