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. ArchibasovRussian 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
JATS XML