Global behaviour of an age-infection-structured HIV model with impulsive drug-treatment strategy |
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Authors: | Liu Helong Yu Jingyuan Zhu Guangtian |
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Institution: | a Department of Mathematics, Xinyang Normal University, No. 237 Chang´an Road, Xinyang city, Henan 464000, PR China b Beijing Institute of Information and Control, Beijing 100037, PR China c Academy of Mathematics and System Science, C.A.S., Beijing 100080, PR China |
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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 R0(p,T)<1. The numerical simulation results indicate that there exist T and p such that R0(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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Keywords: | Impulsive differential equations Infection age Impulsive period Drug-treatment proportion Infection-free state |
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