Multi-scale problem in the model of RNA virus evolution
Korobeinikov, Andrei (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Archibasov, Aleksei (Samara State Aerospace University. Department of Applied Mathematics (Russia))
Sobolev, Vladimir (Samara State Aerospace University. Department of Technical Cybernetics (Russia))

Date:	2016
Abstract:	A mathematical or computational model in evolutionary biology should necessary combine several comparatively fast processes, which actually drive natural selection and evolution, with a very slow process of evolution. As a result, several very different time scales are simultaneously present in the model; this makes its analytical study an extremely difficult task. However, the significant difference of the time scales implies the existence of a possibility of the model order reduction through a process of time separation. In this paper we conduct the procedure of model order reduction for a reasonably simple model of RNA virus evolution reducing the original system of three integro-partial derivative equations to a single equation. Computations confirm that there is a good fit between the results for the original and reduced models.
Grants:	Ministerio de Ciencia e Innovación RYC-2011-08061 Ministerio de Ciencia e Innovación MTM2011-29342 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-1307
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Published in:	Journal of physics. Conference series, Vol. 727 (July 2016) , art. 012007, ISSN 1742-6596

DOI: 10.1088/1742-6596/727/1/012007
PMID: 32288778

9 p, 1.1 MB

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