Order reduction for an rna virus evolution model

Andrei Korobeinikov, Aleksei Archibasov, Vladimir Sobolev

    Research output: Contribution to journalArticleResearchpeer-review

    9 Citations (Scopus)

    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 integropartial derivative equations to a single equation. Computations confirm that there is a good fit between the results for the original and reduced models.
    Original languageEnglish
    Pages (from-to)1007-1016
    JournalMathematical Biosciences and Engineering
    Volume12
    Issue number5
    DOIs
    Publication statusPublished - 1 Jan 2015

    Keywords

    • Basic reproduction number
    • Darwinian fitness
    • HIV
    • Integro-differential equations
    • Nowak-May model
    • Phenotype space
    • Singularly perturbed system
    • Slow-fast dynamics
    • Variant space
    • Viral dynamics
    • Viral evolution

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