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Global dynamics of an age-dependent multiscale hepatitis C virus model.
- Source :
- Journal of Mathematical Biology; Sep2022, Vol. 85 Issue 3, p1-24, 24p
- Publication Year :
- 2022
-
Abstract
- In this paper, we focus on the global dynamics of a multiscale hepatitis C virus model. The model takes into account the evolution of the virus in cells and RNA. For the model, we establish the globally asymptotical stability of both infection-free and infected equilibria. We first give the basic reproduction number R 0 of the model, and then find that the system holds infected equilibrium when R 0 > 1 . Using eigenvalue analysis, Lyapunov functional, persistence theory and so on, it is proved that infection-free and infected equilibria are globally asymptotically stable when R 0 < 1 and R 0 > 1 , respectively. Thus, extinction and persistence of viruses in cells are theoretically judged. Finally, we show our theoretical results by means of numerical simulation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03036812
- Volume :
- 85
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Mathematical Biology
- Publication Type :
- Academic Journal
- Accession number :
- 158660974
- Full Text :
- https://doi.org/10.1007/s00285-022-01773-9