Mathematical analysis of an HIV model with impulsive antiretroviral drug doses

Ting Gao, Wendi Wang and Xianning Liu

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 82, issue 4, 653-665

Abstract: In this paper, we incorporate the periodic therapy from antiretroviral drugs for HIV into the standard within-host virus model, and study the stability and bifurcation of the system. It is shown that when the basic reproduction number of virus is less than one, there is an infection-free equilibrium which is globally stable. Further, if it is greater than one, the HIV infection is uniformly persistent. Besides, subharmonic bifurcation occurs under suitable conditions, and chaotic attractor may emerge through period doubling routes, which can be used to explain the HIV patients’ unpredictable unstable health states, even after a long and hard treatment.

Keywords: Global stability; Uniform persistence; Subharmonic solution; Impulse; Chaos (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2011:i:4:p:653-665

DOI: 10.1016/j.matcom.2011.10.007

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