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Dynamics Analysis and Simulation of A Modified HIV InfectionModel with A Saturated Infection Rate
SUN Qi-Lin 1 #,MIN Le-Quan 2 *,CHEN Xiao 1
1.School of Automation and Electrical Engineering, University of Science andTechnology Beijing Beijing 100083
2.School of Automation and Electrical Engineering, University of Science and Technology Beijing Beijing 100083, School of Mathematics and Physics, University of Science and Technology Beijing Beijing 100083
*Correspondence author
#Submitted by
Subject:
Funding: and Doctoral Research Fundsof University of Science and Technology Beijing (USTB)(No.No.06108126), National Natural Science Foundation of China (No.No.61074192)
Opened online: 5 February 2013
Accepted by: none
Citation: SUN Qi-Lin,MIN Le-Quan,CHEN Xiao.Dynamics Analysis and Simulation of A Modified HIV InfectionModel with A Saturated Infection Rate[OL]. [ 5 February 2013] http://en.paper.edu.cn/en_releasepaper/content/4518070
 
 
This paper studies a modified human immunodeficiency virus (HIV)infection differential equation model with a saturated infectionrate, which has an infection-free equilibrium point andan endemic infection equilibrium point. It is proved that if thebasic infection reproductive number $R_0$ of the model is less thanone, then the infection-free equilibrium point of the model isglobally asymptotically stable; if $R_0$ of the model is more thanone, then the endemic infection equilibrium point of the model isglobally asymptotically stable. Based on the clinic data from the HIVdrug resistance database of Stanford University, this paper uses the proposed modelto simulate the dynamics of two group patients' anti-HIV infectiontreatment. The numerical simulations have shown that the first 4 and8 weeks treatments made the two group patients' $R_0$ both reduced but still slightly more than one. After the week 8,drug resistance appeared which made two group patients' $R_0$increased. The results interpret why patients' CD$4^{+}$ T cellsmean level raised and HIV RNA mean level declined rapidly in thefirst 8 weeks, but contrary in the following weeks.
Keywords:differential equation model; HIV infection treatment; basic infection reproductive number; globally asymptotically stable; numerical simulation.
 
 
 

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