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http://dx.doi.org/10.4134/JKMS.2005.42.5.1071

A DELAY-DIFFERENTIAL EQUATION MODEL OF HIV INFECTION OF CD4+ T-CELLS  

SONG, XINYU (Department of Mathematics Xinyang Normal University)
CHENG, SHUHAN (College of Information Science and Engineering Shandong Agricultural University)
Publication Information
Journal of the Korean Mathematical Society / v.42, no.5, 2005 , pp. 1071-1086 More about this Journal
Abstract
In this paper, we introduce a discrete time to the model to describe the time between infection of a CD4$^{+}$ T-cells, and the emission of viral particles on a cellular level. We study the effect of the time delay on the stability of the endemically infected equilibrium, criteria are given to ensure that the infected equilibrium is asymptotically stable for all delay. We also obtain the condition for existence of an orbitally asymptotically stable periodic solution.
Keywords
Hopf bifurcation; Periodic solution; Stability; HIV; HCV;
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