Open Access
Translator Disclaimer
2013 Stability Analysis of an In-Host Viral Model with Cure of Infected Cells and Humoral Immunity
Hui Wang, Rong Wang, Zhixing Hu, Fucheng Liao
J. Appl. Math. 2013: 1-5 (2013). DOI: 10.1155/2013/102757

Abstract

An in-host viral model with cure of infected cells and humoral immunity is studied. We prove that the stability is completely determined by the basic reproductive number R0 and show that the infection-free equilibrium E0 is globally asymptotically stable if and only if R01. Moreover, if R0>1, the infection equilibrium is locally asymptotically stable when the time delay τ is small and it loses stability as the length of the time delay increases past a critical value τ0. Finally, we confirm our analysis by providing several numerical examples.

Citation

Download Citation

Hui Wang. Rong Wang. Zhixing Hu. Fucheng Liao. "Stability Analysis of an In-Host Viral Model with Cure of Infected Cells and Humoral Immunity." J. Appl. Math. 2013 1 - 5, 2013. https://doi.org/10.1155/2013/102757

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1293.46027
MathSciNet: MR3147871
Digital Object Identifier: 10.1155/2013/102757

Rights: Copyright © 2013 Hindawi

JOURNAL ARTICLE
5 PAGES


SHARE
Vol.2013 • 2013
Back to Top