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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 2, Pages 242–252
DOI: https://doi.org/10.7868/S0044466915020039 (Mi zvmmf10154) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Asymptotic expansions of solutions in a singularly perturbed model of virus evolution

A. A. Archibasova, A. Korobeinikovb, V. A. Soboleva

a Samara State Aerospace University, Moskovskoe shosse 34, Kuibyshev, 443086, Russia
b Centre de Recerca Matematica, Campus de Bellaterra, Edifici C, 08193, Spain
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DOI: https://doi.org/10.7868/S0044466915020039
Abstract: 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.
Key words: singular perturbations, asymptotic expansions, boundary functions, virus evolution, partial integro-differential equation, numerical analytical method.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-97002-а
14-01-97018-а
Ministry of Education and Science of the Russian Federation RYC-2011-08061
Ministerio de Ciencia e Innovación de España MTM2011-29342
Received: 27.05.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 2, Pages 240–250
DOI: https://doi.org/10.1134/S0965542515020037
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. A. Archibasov, A. Korobeinikov, V. A. Sobolev, “Asymptotic expansions of solutions in a singularly perturbed model of virus evolution”, Zh. Vychisl. Mat. Mat. Fiz., 55:2 (2015), 242–252; Comput. Math. Math. Phys., 55:2 (2015), 240–250
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:57
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