Stability Analysis of an Improved HBV Model with CTL Immune Response

To better understand the dynamics of the hepatitis B virus (HBV) infection, we introduce an improved HBV model with standard incidence function, cytotoxic T lymphocytes (CTL) immune response, and take into account the effect of the export of precursor CTL cells from the thymus and the role of cytoly...

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Bibliographic Details
Published in:	International scholarly research notices 2014, Vol.2014, p.407272-8
Main Authors:	Khabouze, Mostafa, Hattaf, Khalid, Yousfi, Noura
Format:	Article
Language:	eng
Subjects:	Analysis Development and progression Equilibrium Health aspects Hepatitis B Immune response Infections Liver Mathematical models Physiological aspects Substance abuse treatment T cells
Online Access:	Get full text
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Summary:	To better understand the dynamics of the hepatitis B virus (HBV) infection, we introduce an improved HBV model with standard incidence function, cytotoxic T lymphocytes (CTL) immune response, and take into account the effect of the export of precursor CTL cells from the thymus and the role of cytolytic and noncytolytic mechanisms. The local stability of the disease-free equilibrium and the chronic infection equilibrium is obtained via characteristic equations. Furthermore, the global stability of both equilibria is established by using two techniques, the direct Lyapunov method for the disease-free equilibrium and the geometrical approach for the chronic infection equilibrium.
ISSN:	2356-7872 2356-7872