The inverse problem for a age-structured population dynamics model with account to migration flows

A. Yu. Shcheglov^ab, S. V. Netesov<sup>b

a</sup> MSU-PPI University in Shenzhen, Shenzhen, China
^b Lomonosov Moscow State University, Moscow, Russia

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.

UDC: 519.633.6

Received: 18.09.2023
Revised: 18.09.2023
Accepted: 18.09.2023

DOI: 10.15372/SJNM20240109

 English version: Numerical Analysis and Applications, 2024, 17:1, 93–98