Mathematical modeling

Singularly perturbed partial integro-differential system reduction

A. A. Archibasov

Samara National Research University

Abstract: An evolutionary model of HIV is considered. This model describes the dynamics of populations of healthy and infected cells. After introducing dimensionless variables and parameters a singularly perturbed partial integro-differential system arises. The order of the resulting system can be reduced.

Keywords: singular perturbations, asymptotic expansions, boundary layer

UDC: 517.957

DOI: 10.25587/2411-9326-2025-1-94-95