Asymptotic expansions of solutions for a singularly perturbed model of viral evolution

An initial boundary value problem for a singularly perturbed system of partial integro-differential equations involving two small parameters multiplying the derivatives is studied. The problem arises in a virus evolution model. An asymptotic solution of the problem is constructed by the Tikhonov-Vas...

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Bibliographic Details
Authors: Archibasov, A.A., Korobeinikov, A., Sobolev, V.A.
Format: article
Status:Versión aceptada para publicación
Publication Date:2015
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/377906
Online Access:http://hdl.handle.net/2072/377906
Access Level:Open access
Keyword:Matemàtiques
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Description
Summary:An initial boundary value problem for a singularly perturbed system of partial integro-differential equations involving two small parameters multiplying the derivatives is studied. The problem arises in a virus evolution model. An asymptotic solution of the problem is constructed by the Tikhonov-Vasil’eva method of boundary functions. The analytical results are compared with numerical ones.