Dynamic Analysis of a Class of HIV-1 Infection Models With Pulsed Immunotherapy

WANG Xiaoe; LIN Xiaolin; LI Jianquan

doi:10.21656/1000-0887.390334

Volume 40 Issue 7

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WANG Xiaoe, LIN Xiaolin, LI Jianquan. Dynamic Analysis of a Class of HIV-1 Infection Models With Pulsed Immunotherapy[J]. Applied Mathematics and Mechanics, 2019, 40(7): 728-740. doi: 10.21656/1000-0887.390334

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Dynamic Analysis of a Class of HIV-1 Infection Models With Pulsed Immunotherapy

doi: 10.21656/1000-0887.390334

School of Arts and Sciences, Shaanxi University of Science and Technology,Xi’an 710021, P.R.China

Funds: The National Natural Science Foundation of China(11371031;11371369)

Received Date: 2018-11-29
Rev Recd Date: 2019-05-06
Publish Date: 2019-07-01

Abstract

Abstract

Based on a class of HIV-1 infection immunotherapy models, an HIV-1 infection model with pulsed immunotherapy was addressed. The non-negativity and uniform boundedness of the solutions to the pulsed immunotherapy model were studied with the pulsed differential equation theory. According to the Floquet multiplier theory and the comparison theorem for differential equations, the threshold conditions for the local and global asymptotic stability of the infection-free periodic solution as well as uniform persistence of HIV-1 were obtained. Through numerical simulation, the therapeutic effects of 3 different treatment regimens were compared, and the effectiveness of the pulsed immunotherapy was verified. The numerical results show that, the virus can be effectively controlled or eliminated theoretically when the drug input is large enough or the dosing interval is short properly.
- HIV-1 infection model,
- infection-free periodic solution,
- uniform persistence,
- immunotherapy

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References(24)

References

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