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Singularly perturbed partial integro-differential system reduction

https://doi.org/10.25587/2411-9326-2025-1-94-95

Abstract

An evolutionary model of HIV is considered. This model describes the dynamics of populations of healthy and infected cells. After introducing dimensionless variables and parameters a singularly perturbed partial integro-differential system arises. The order of the resulting system can be reduced.

About the Author

A. A. Archibasov
Samara National Research University
Russian Federation

Aleksey A. Archibasov

34 Moskovskoye highway, Samara 443086



References

1. Korobeinikov A., Dempsey C. A continuous phenotype space model of RNA virus evolution within a host // Math. Biosci. Eng. 2014. V. 11, N 4. P. 919–927.

2. Арчибасов А. А., Коробейников А., Соболев В. А. Асимптотические разложения решений в сингулярно возмущенной модели вирусной эволюции // Журн. вычисл. математики и мат. физики. 2015. Т. 55, № 2. С. 242–252.

3. Archibasov A. Multi-scale problem for a model of viral evolution with random mutations // Extended Abstracts Spring 2018. V. 11. Birkh¨auser, Cham: Springer International Publishing, 2019. P. 13–17.


Review

For citations:


Archibasov A.A. Singularly perturbed partial integro-differential system reduction. Mathematical notes of NEFU. 2025;32(1):94-95. (In Russ.) https://doi.org/10.25587/2411-9326-2025-1-94-95

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ISSN 2411-9326 (Print)
ISSN 2587-876X (Online)