The inverse problem for a age-structured population dynamics model with account to migration flows
A.Yu. Shcheglov1,2, S.V. Netessov2
1MSU-PPI University in Shenzhen, Shenzhen, China
2Lomonosov Moscow State University, Moscow, Russia
Keywords: inverse problem, age structuring, migration flows, Volterra integral equations
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.
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