|
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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm13167https://doi.org/10.4213/mzm13167 https://www.mathnet.ru/eng/mzm/v111/i1/p125
|
Statistics & downloads: |
Abstract page: | 241 | Full-text PDF : | 37 | References: | 56 | First page: | 19 |
|