IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i6p515-d237590.html
   My bibliography  Save this article

Efficacy of the Post-Exposure Prophylaxis and of the HIV Latent Reservoir in HIV Infection

Author

Listed:
  • Carla M. A. Pinto

    (School of Engineering, Polytechnic of Porto, Rua Dr António Bernardino de Almeida, 431, 4200-072 Porto, Portugal
    Centre for Mathematics, University of Porto, Rua do Campo Alegre s/n, 4440-452 Porto, Portugal
    The authors contributed equally to this work.)

  • Ana R. M. Carvalho

    (Faculty of Sciences, University of Porto, Rua do Campo Alegre s/n, 4440-452 Porto, Portugal
    The authors contributed equally to this work.)

  • Dumitru Baleanu

    (Department of Mathematics and Computer Sciences, Cankaya University, Balgat, Ankara 0630, Turkey
    The authors contributed equally to this work.)

  • Hari M. Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    The authors contributed equally to this work.)

Abstract

We propose a fractional order model to study the efficacy of the Post-Exposure Prophylaxis (PEP) in human immunodeficiency virus (HIV) within-host dynamics, in the presence of the HIV latent reservoir. Latent reservoirs harbor infected cells that contain a transcriptionally silent but reactivatable provirus. The latter constitutes a major difficulty to the eradication of HIV in infected patients. PEP is used as a way to prevent HIV infection after a recent possible exposure to HIV. It consists of the in-take of antiretroviral drugs for, usually, 28 days. In this study, we focus on the dosage and dosage intervals of antiretroviral therapy (ART) during PEP and in the role of the latent reservoir in HIV infected patients. We thus simulate the model for immunologically important parameters concerning the drugs and the fraction of latently infected cells. The results may add important information to clinical practice of HIV infected patients.

Suggested Citation

  • Carla M. A. Pinto & Ana R. M. Carvalho & Dumitru Baleanu & Hari M. Srivastava, 2019. "Efficacy of the Post-Exposure Prophylaxis and of the HIV Latent Reservoir in HIV Infection," Mathematics, MDPI, vol. 7(6), pages 1-16, June.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:6:p:515-:d:237590
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/6/515/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/6/515/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yan, Ye & Kou, Chunhai, 2012. "Stability analysis for a fractional differential model of HIV infection of CD4+ T-cells with time delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(9), pages 1572-1585.
    2. Copot, Dana & Magin, Richard L. & De Keyser, Robin & Ionescu, Clara, 2017. "Data-driven modelling of drug tissue trapping using anomalous kinetics," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 441-446.
    3. Sweilam, Nasser H. & Abou Hasan, Muner M. & Baleanu, Dumitru, 2017. "New studies for general fractional financial models of awareness and trial advertising decisions," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 772-784.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Attaullah, & Jan, Rashid & Yüzbaşı, Şuayip, 2021. "Dynamical behaviour of HIV Infection with the influence of variable source term through Galerkin method," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mahmoud, Gamal M. & Arafa, Ayman A. & Abed-Elhameed, Tarek M. & Mahmoud, Emad E., 2017. "Chaos control of integer and fractional orders of chaotic Burke–Shaw system using time delayed feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 680-692.
    2. Zhao, Jingjun & Jiang, Xingzhou & Xu, Yang, 2021. "Generalized Adams method for solving fractional delay differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 180(C), pages 401-419.
    3. Hao, Zhaopeng & Fan, Kai & Cao, Wanrong & Sun, Zhizhong, 2016. "A finite difference scheme for semilinear space-fractional diffusion equations with time delay," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 238-254.
    4. Pundikala Veeresha & Doddabhadrappla Gowda Prakasha & Dumitru Baleanu, 2019. "An Efficient Numerical Technique for the Nonlinear Fractional Kolmogorov–Petrovskii–Piskunov Equation," Mathematics, MDPI, vol. 7(3), pages 1-18, March.
    5. Morales-Delgado, V.F. & Taneco-Hernández, M.A. & Vargas-De-León, Cruz & Gómez-Aguilar, J.F., 2023. "Exact solutions to fractional pharmacokinetic models using multivariate Mittag-Leffler functions," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    6. Li, Dongfang & Zhang, Chengjian, 2020. "Long time numerical behaviors of fractional pantograph equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 172(C), pages 244-257.
    7. Uddin, Md. Jasim & Rana, Sarker Md. Sohel & Işık, Seval & Kangalgil, Figen, 2023. "On the qualitative study of a discrete fractional order prey–predator model with the effects of harvesting on predator population," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    8. Shyamsunder, & Bhatter, S. & Jangid, Kamlesh & Purohit, S.D., 2022. "Fractionalized mathematical models for drug diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    9. Yingkang Xie & Zhen Wang & Bo Meng, 2019. "Stability and Bifurcation of a Delayed Time-Fractional Order Business Cycle Model with a General Liquidity Preference Function and Investment Function," Mathematics, MDPI, vol. 7(9), pages 1-10, September.
    10. Yao, Zichen & Yang, Zhanwen & Gao, Jianfang, 2023. "Unconditional stability analysis of Grünwald Letnikov method for fractional-order delay differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    11. Akinyemi, Lanre & Şenol, Mehmet & Iyiola, Olaniyi S., 2021. "Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 211-233.
    12. Mihailović, D.T. & Kostić, V. & Balaž, I. & Cvetković, Lj., 2014. "Complexity and asymptotic stability in the process of biochemical substance exchange in a coupled ring of cells," Chaos, Solitons & Fractals, Elsevier, vol. 65(C), pages 30-43.
    13. Jajarmi, Amin & Baleanu, Dumitru, 2018. "A new fractional analysis on the interaction of HIV with CD4+ T-cells," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 221-229.
    14. Veeresha, P. & Baskonus, Haci Mehmet & Prakasha, D.G. & Gao, Wei & Yel, Gulnur, 2020. "Regarding new numerical solution of fractional Schistosomiasis disease arising in biological phenomena," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    15. Javidi, Mohammad & Ahmad, Bashir, 2015. "Dynamic analysis of time fractional order phytoplankton–toxic phytoplankton–zooplankton system," Ecological Modelling, Elsevier, vol. 318(C), pages 8-18.
    16. Chéagé Chamgoué, A. & Ngueuteu, G.S.M. & Yamapi, R. & Woafo, P., 2018. "Memory effect in a self-sustained birhythmic biological system," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 160-169.
    17. Fu, Peng & Wang, Can-Jun & Yang, Ke-Li & Li, Xu-Bo & Yu, Biao, 2022. "Reentrance-like vibrational resonance in a fractional-order birhythmic biological system," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    18. Sweilam, N.H. & AL - Mekhlafi, S.M. & Baleanu, D., 2021. "A hybrid stochastic fractional order Coronavirus (2019-nCov) mathematical model," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    19. Huo, Jingjing & Zhao, Hongyong, 2016. "Dynamical analysis of a fractional SIR model with birth and death on heterogeneous complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 41-56.
    20. Sweilam, N.H. & AL - Mekhlafi, S.M. & Mohamed, D.G., 2021. "Novel chaotic systems with fractional differential operators: Numerical approaches," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:7:y:2019:i:6:p:515-:d:237590. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.