Global Stability of Within-Host Virus Dynamics Models with Multitarget Cells

In this paper, we study the stability analysis of two within-host virus dynamics models with antibody immune response. We assume that the virus infects n classes of target cells. The second model considers two types of infected cells: (i) latently infected cells; and (ii) actively infected cells tha...

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Veröffentlicht in:Mathematics (Basel) 2018-07, Vol.6 (7), p.118
Hauptverfasser: Elaiw, Ahmed, Alade, Taofeek, Alsulami, Saud
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Sprache:eng
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Zusammenfassung:In this paper, we study the stability analysis of two within-host virus dynamics models with antibody immune response. We assume that the virus infects n classes of target cells. The second model considers two types of infected cells: (i) latently infected cells; and (ii) actively infected cells that produce the virus particles. For each model, we derive a biological threshold numberR0. Using the method of Lyapunov function, we establish the global stability of the steady states of the models. The theoretical results are confirmed by numerical simulations.
ISSN:2227-7390
2227-7390
DOI:10.3390/math6070118