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Global dynamics of a delayed model with cytokine-enhanced viral infection and cell-to-cell transmission
- Source :
- AIMS Mathematics, Vol 9, Iss 6, Pp 16280-16296 (2024)
- Publication Year :
- 2024
- Publisher :
- AIMS Press, 2024.
-
Abstract
- Recent studies have demonstrated the superiority of cell-to-cell transmission over cell-free virus infection, and highlighted the role of inflammatory cytokines in enhancing viral infection. To investigate their impacts on viral infection dynamics, we have proposed an HIV infection model incorporating general incidence rates, these infection modes, and two time delays. We derived the basic reproduction number and showed that it governs the existence and local stability of steady states. Through the construction of appropriate Lyapunov functionals and application of the LaSalle invariance principle, we established the global asymptotic stability of both the infection-free and infected steady states.
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 9
- Issue :
- 6
- Database :
- Directory of Open Access Journals
- Journal :
- AIMS Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.6b5f5f1554ea497e8ecfd135e9587661
- Document Type :
- article
- Full Text :
- https://doi.org/10.3934/math.2024788?viewType=HTML