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An Affordable HIV-1 Drug Resistance Monitoring Method for Resource Limited Settings
Published on: March 30, 2014
Global behaviour of an age-infection-structured HIV model with impulsive drug-treatment strategy
Helong Liu1, Jingyuan Yu, Guangtian Zhu
1Department of Mathematics, Xinyang Normal University, No. 237 Chang an Road, Xinyang city, Henan 464000, PR China. liuhelong2004@yahoo.com.cn
Abstract:
In this paper, we develop an HIV model that considers the dependence of HIV/AIDS progress on infection age (duration since infection), chronological age and impulsive antiretroviral treatment. The analytical results show that there exists a globally asymptotically stable infection-free state when the impulsive period T and drug-treatment proportion p satisfy R(0)(p,T)<1. The numerical simulation results indicate that there exist T and p such that R(0)(p,T)<1. Due to pulses, it would be difficult to obtain the optimal pulse interval in the age distribution of population. However, our results demonstrate the effect of the impulsive drug-treatment strategy on the dynamics of HIV/AIDS.
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