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Multi-scale Problem for a Model of Viral Evolution with Random Mutations

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Extended Abstracts Spring 2018

Part of the book series: Trends in Mathematics ((RPCRMB,volume 11))

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Abstract

The model of viral dynamics with random mutations is considered. This model describes the cells’ population dynamics with significantly different life cycles. The presence of different timescales leads to a singularly perturbed system. The latter makes it possible to apply the technique of separating timescales and thereby reducing the dimensionality of the model.

This work is supported by the Russian Foundation for Basic Research and Samara region (grant 16-41-630529-p) and the Ministry of Education and Science of the Russian Federation as part of a program to increase the competitiveness of Samara University in the period 2013–2020.

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References

  1. A.A. Archibasov, A. Korobeinikov, V.A. Sobolev, Pasage to the limit in a singularly perturbed partial integro-differential system. Differ. Equ. 52(9), 1115–1122 (2016)

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics and Physics, Samara National Research University, Samara, Russia

    Aleksei Archibasov

Authors
  1. Aleksei Archibasov
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Correspondence to Aleksei Archibasov .

Editor information

Editors and Affiliations

  1. Centre de Recerca Matemàtica, Universitat Autònoma de Barcelona, Barcelona, Spain

    Andrei Korobeinikov

  2. Facultat de Ciències, Universitat Autònoma de Barcelona, Barcelona, Spain

    Magdalena Caubergh

  3. Departament de Matemàtiques, Universitat Politècnica de Catalunya, Barcelona, Spain

    Tomás Lázaro

  4. Centre de Recerca Matemàtica, Universitat Autònoma de Barcelona, Barcelona, Spain

    Josep Sardanyés

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Archibasov, A. (2019). Multi-scale Problem for a Model of Viral Evolution with Random Mutations. In: Korobeinikov, A., Caubergh, M., Lázaro, T., Sardanyés, J. (eds) Extended Abstracts Spring 2018. Trends in Mathematics(), vol 11. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-25261-8_3

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