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.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.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.doi http://dx.doi.org/10.3390/math8010117
• dc.identifier.issn 2227-7390
• dc.identifier.uri http://hdl.handle.net/10230/44276
• dc.language.iso eng
• dc.publisher MDPI
• dc.relation.ispartof Mathematics. 2020; 8(1):117
• dc.relation.projectID info:eu-repo/grantAgreement/ES/1PE/SAF2016-75505-R
• 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.accessRights info:eu-repo/semantics/openAccess
• dc.rights.uri http://creativecommons.org/licenses/by/4.0/
• 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.title Nonlocal reaction–diffusion model of viral evolution: emergence of virus strains
• dc.type info:eu-repo/semantics/article
• dc.type.version info:eu-repo/semantics/publishedVersion