Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1168.92031
Wang, Yan; Zhou, Yicang; Wu, Jianhong; Heffernan, Jane
Oscillatory viral dynamics in a delayed HIV pathogenesis model. (English)
[J] Math. Biosci. 219, No. 2, 104-112 (2009). ISSN 0025-5564

Summary: We consider an HIV pathogenesis model incorporating antiretroviral therapy and HIV replication time. We investigate the existence and stability of equilibria, as well as Hopf bifurcations to sustained oscillations when drug efficacy is less than 100\%. We derive sufficient conditions for the global asymptotic stability of the uninfected steady state. We show that the time delay has no effect on the local asymptotic stability of the uninfected steady state, but can destabilize the infected steady state, leading to a Hopf bifurcation to periodic solutions in the realistic parameter ranges.

MSC 2000:: *92C50 Medical appl. of mathematical biology
34K20 Stability theory of functional-differential equations
34K60 Applications of functional-differential equations
92C60 Medical epidemiology
34K18 Bifurcation theory of functional differential equations

Keywords: HIV; antiretroviral therapy; time delay; asymptotic stability; Hopf bifurcation; T-cells

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]