Stability Analysis of Mathematical Model on HIV Infection with the Effects of Antiretroviral therapy

Authors

  • Lilis Dwi Sapta Aprilyani Hasanuddin University
  • Kasbawati Kasbawati
  • Syamsuddin Toaha

DOI:

https://doi.org/10.20956/jmsk.v17i1.9239

Abstract

HIV is a retrovirus, a virus which has enzymes and can convert genetic material from RNA to DNA. Antiretroviral therapies are the treatment to make the activity of the virus slow. The purpose of this article is to develop a mathematical model of HIV infection by reviewing antiretroviral therapy, analyze the equilibrium point, and determine the effectiveness of antiretroviral therapy. There are two equilibrium points in this HIV infection model, namely infection-free equilibrium and infected equilibrium. Numerical simulations are carried out based on selected parameters showed that infection free equilibrium is reached when the effectiveness of antiretroviral therapy is 0,4 for RT inhibitor and 0,3 for Protease Inhibitor. This means that antiretroviral therapy may change infected conditions to infection free conditions.

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References

Adak, D., Bairagi, Nandadulal. 2017. Analysis and Computation of Multi-Pathways and Multi-Delays HIV-1 Infection M odel. Journal of Applied Mathematical Modelling, Vol 54, Hal.517 – 536.

AIDS Info, U.S. Department of Health and Human Services, 2019. Facts sheets about The HIV Life Cycle. Sumber: https://aidsinfo.nih.gov/understanding-hiv-aids/fact-sheets/19/73/the-hiv-life-cycle, diakses pada tanggal 25 Januari 2020.

Huang, D., Zhang, X., Guo, Y., & Wang, H. 2015. Analysis of an HIV Infection Model with Treatments and Delayed. Journal of Applied Mathematical Modelling, 1-9.

Wang Yan, Jiang Daqing, Hayar Tasawar., & Ahmad B. 2017. A stochastic HIV infection model with T-cell proliferation and CTL immune response. Applied Mathematics and Computation, Elsevier, Vol. 315(2017), hal.477-493.

Wodarz, D., & Hamer, D. H. 2007. Infection Dynamics in HIV-Specific CD4 T cells: Does a CD4 T cell boost benefit the host or the virus?. Journal of Mathematical Biosciences Vol 209: 14-29.

Wodarz, D., & Krakauer, D. C. 2000. Defining CTL-Induced Pathology: Implications for HIV. Journal of Virology Vol 274: 94-104.

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Published

2020-08-24

How to Cite

Aprilyani, L. D. S., Kasbawati, K., & Toaha, S. (2020). Stability Analysis of Mathematical Model on HIV Infection with the Effects of Antiretroviral therapy. Jurnal Matematika, Statistika Dan Komputasi, 17(1), 109-116. https://doi.org/10.20956/jmsk.v17i1.9239

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Section

Research Articles

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