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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013 Issue 3(104), Pages 5–11 (Mi vsgu321)

Mathematics

Asymptotic expansions of solutions for HIV evolution model

A. A. Archibasov

Samara State University, Samara, 443011, Russian Federation

Abstract: In the paper the mathematical model of HIV evolution is considered. This model is a singularly perturbed partial integro-differential equations system. Based on the Tikhonov–Vasilieva method of boundary function the first approximation of the system solutions is realized.

Keywords: singular perturbations, asymptotic expansion, boundary layer.

UDC: 517.955.8

Received: 18.01.2013
Revised: 18.01.2013



© Steklov Math. Inst. of RAS, 2024