Viruses competition in the genotype space

Viruses competition in the genotype space

This paper is devoted to the study of persistence and evolution of two viruses taking into account virus mutation, reproduction, and genotype dependent mortality, either natural or determined by an antiviral treatment. The model describes the virus density distribution u(x; t) for the first virus an...

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Main Authors: Leon Cristina, Popov Vladimir, Volpert Vitaly
Format: Article
Language:English
Published: EDP Sciences 2020-01-01
Series:ITM Web of Conferences
Online Access:https://www.itm-conferences.org/articles/itmconf/pdf/2020/01/itmconf_mmb2019_02002.pdf
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spelling doaj-ff2d1df722814229b57a44b63c920cc12021-04-02T14:54:00ZengEDP SciencesITM Web of Conferences2271-20972020-01-01310200210.1051/itmconf/20203102002itmconf_mmb2019_02002Viruses competition in the genotype spaceLeon Cristina0Popov Vladimir1Volpert VitalyPeoples Friendship University of Russia (RUDN University)Peoples Friendship University of Russia (RUDN University)This paper is devoted to the study of persistence and evolution of two viruses taking into account virus mutation, reproduction, and genotype dependent mortality, either natural or determined by an antiviral treatment. The model describes the virus density distribution u(x; t) for the first virus and v(y; t) for the second one as functions of genotypes x and y considered as continuous variables and of time t. The model consists of a system of reaction-diffusion equations with integral terms characterizing virus competition for host cells. The analysis of the model shows the conditions of the existence of virus strains.https://www.itm-conferences.org/articles/itmconf/pdf/2020/01/itmconf_mmb2019_02002.pdf
collection DOAJ
language English
format Article
sources DOAJ
author Leon Cristina
Popov Vladimir
Volpert Vitaly
spellingShingle Leon Cristina
Popov Vladimir
Volpert Vitaly
Viruses competition in the genotype space
ITM Web of Conferences
author_facet Leon Cristina
Popov Vladimir
Volpert Vitaly
author_sort Leon Cristina
title Viruses competition in the genotype space
title_short Viruses competition in the genotype space
title_full Viruses competition in the genotype space
title_fullStr Viruses competition in the genotype space
title_full_unstemmed Viruses competition in the genotype space
title_sort viruses competition in the genotype space
publisher EDP Sciences
series ITM Web of Conferences
issn 2271-2097
publishDate 2020-01-01
description This paper is devoted to the study of persistence and evolution of two viruses taking into account virus mutation, reproduction, and genotype dependent mortality, either natural or determined by an antiviral treatment. The model describes the virus density distribution u(x; t) for the first virus and v(y; t) for the second one as functions of genotypes x and y considered as continuous variables and of time t. The model consists of a system of reaction-diffusion equations with integral terms characterizing virus competition for host cells. The analysis of the model shows the conditions of the existence of virus strains.
url https://www.itm-conferences.org/articles/itmconf/pdf/2020/01/itmconf_mmb2019_02002.pdf
work_keys_str_mv AT leoncristina virusescompetitioninthegenotypespace
AT popovvladimir virusescompetitioninthegenotypespace
AT volpertvitaly virusescompetitioninthegenotypespace
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