Open AccessOrder reduction for an RNA virus evolution model
Author(s) -
Andrei Korobeinikov,
Aleksei Archibasov,
Vladimir Sobolev
Publication year - 2015
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2015.12.1007
Subject(s) - reduction (mathematics) , process (computing) , mathematics , simple (philosophy) , computation , selection (genetic algorithm) , computer science , statistical physics , mathematical optimization , algorithm , physics , artificial intelligence , philosophy , geometry , epistemology , operating system
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.