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Delayed Model for HIV Infection with Drug Effects

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Abstract

Delayed models are a better representation of the nature of HIV. In the present paper, a multi-delayed model of HIV with combination drug therapy has been analysed. Effect of the immune response in the form of effector cell response has also been included to make the model more justified. The threshold properties related with the basic reproduction number \(R_0\) have been discussed. The local and global properties of the model have been analysed. Extensive numerical simulations have been performed to show the impact of highly effective drug on the concentration of virus. The numerical simulations and the result proved has led to the conclusion that a highly effective drug when combined with a less effective drug, can very efficiently bring down the viral load to undetectable levels.

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Acknowledgements

Author (Saroj Kumar Sahani) is grateful to South Asian University for providing full financial support to participate and present the article in 6th International Conference on Optimization and Control with Applications held at Changsha University of Science and Technology, China during 11th–14th December, 2015. Authors are also grateful to the anonymous reviewers for critical comments and suggestions on the paper which has greatly improved its quality.

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  1. Department of Mathematics, South Asian University, Akbar Bhawan, Chanakyapuri, New Delhi, 110021, India

    Saroj Kumar Sahani &  Yashi

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  1. Saroj Kumar Sahani
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Correspondence to Saroj Kumar Sahani.

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Sahani, S.K., Yashi Delayed Model for HIV Infection with Drug Effects. Differ Equ Dyn Syst 26, 57–80 (2018). https://doi.org/10.1007/s12591-016-0341-7

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