Inverse problem for a population dynamics model with age structuring and consideration of overpopulation

Recieved: 08/26/2023

Accepted: 11/29/2023

Published: 01/27/2024

Keywords: the inverse problem for the population model, age structuring, overpopulation, Volterra integral equation type II, the method of successive approximations, the method of compressive maps

To cite this article

Netessov S. V., Shcheglov A.Yu. Inverse problem for a population dynamics model with age structuring and consideration of overpopulation. // Moscow University Journal. Series 15. Computational Mathematics and Cybernetics. 2024. N 1, p.23-32 https://doi.org/10.55959/MSU/0137-0782-15-2024-47-1-23-32.

This work is licensed under a Сreative Commons Atribiution - NonCommercial 4.0 International (CC BY-NC 4.0)

Netessov S. V. (Lomonosov Moscow State University (MSU))
Shcheglov A.Yu. (Lomonosov Moscow State University (MSU))

Abstract

The inverse problem of reconstructing the coefficient in the nonlinear equation of the model of the development of a homogeneous biological age-structured population is considered. The model takes into account the dependence of the parameters of the vital activity of individuals on the size of the population. The coefficients of the model are non-local and have an integral structure. Conditions are established to ensure the uniqueness of the solution of the inverse problem.