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Nonlocal reaction–diffusion model of viral evolution: emergence of virus strains

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dc.contributor.author Bessonov, Nickolay
dc.contributor.author Bocharov, Gennady A.
dc.contributor.author Meyerhans, Andreas
dc.contributor.author Popov, Vladimir
dc.contributor.author Volpert, Vitaly
dc.date.accessioned 2020-04-20T07:35:13Z
dc.date.available 2020-04-20T07:35:13Z
dc.date.issued 2020
dc.identifier.citation Bessonov N, Bocharov G, Meyerhans A, Popov V, Volpert V. Nonlocal reaction–diffusion model of viral evolution: emergence of virus strains. Mathematics. 2020; 8(1):117. DOI: 10.3390/math8010117
dc.identifier.issn 2227-7390
dc.identifier.uri http://hdl.handle.net/10230/44276
dc.description.abstract This work is devoted to the investigation of virus quasi-species evolution and diversification due to mutations, competition for host cells, and cross-reactive immune responses. The model consists of a nonlocal reaction–diffusion equation for the virus density depending on the genotype considered to be a continuous variable and on time. This equation contains two integral terms corresponding to the nonlocal effects of virus interaction with host cells and with immune cells. In the model, a virus strain is represented by a localized solution concentrated around some given genotype. Emergence of new strains corresponds to a periodic wave propagating in the space of genotypes. The conditions of appearance of such waves and their dynamics are described.
dc.description.sponsorship The research was funded by the Russian Science Foundation (Grant no. 18-11-00171) to N.B., G.B., A.M. and V.V. V.P. and V.V. were partially supported by the “RUDN University Program 5-100”. A.M. was also supported by a grant from the Spanish Ministry of Economy, Industry and Competitiveness and FEDER grant no. SAF2016-75505-R (AEI/MINEICO/FEDER, UE) and the “Maria de Maeztu” Programme for Units of Excellence in R&D (MDM-2014-0370).
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher MDPI
dc.relation.ispartof Mathematics. 2020; 8(1):117
dc.rights © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
dc.rights.uri http://creativecommons.org/licenses/by/4.0/
dc.title Nonlocal reaction–diffusion model of viral evolution: emergence of virus strains
dc.type info:eu-repo/semantics/article
dc.identifier.doi http://dx.doi.org/10.3390/math8010117
dc.subject.keyword Virus density distribution
dc.subject.keyword Genotype
dc.subject.keyword Virus infection
dc.subject.keyword Immune response
dc.subject.keyword Resistance to treatment
dc.subject.keyword Nonlocal interaction
dc.subject.keyword Quasi-species diversification
dc.relation.projectID info:eu-repo/grantAgreement/ES/1PE/SAF2016-75505-R
dc.rights.accessRights info:eu-repo/semantics/openAccess
dc.type.version info:eu-repo/semantics/publishedVersion


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