Global behaviour of an age-infection-structured HIV model with impulsive drug-treatment strategy.
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.
Department of Mathematics, Xinyang Normal University, No. 237 Chang an Road, Xinyang city, Henan 464000, PR China. liuhelong2004@yahoo.com.cn
Helong
H
Liu
Jingyuan
J
Yu
Guangtian
G
Zhu
D000375:Aging / Q000502:physiology; D044966:Anti-Retroviral Agents / Q000627:therapeutic use; D003198:Computer Simulation; D004198:Disease Susceptibility; D014943:Global Health; D015658:HIV Infections / Q000188:drug therapy / Q000517:prevention & control / Q000635:transmission*; D006801:Humans; D008954:Models, Biological; D015233:Models, Statistical; D013995:Time
D044966:Anti-Retroviral Agents