IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i22p2857-d676337.html
   My bibliography  Save this article

SEIR Mathematical Model of Convalescent Plasma Transfusion to Reduce COVID-19 Disease Transmission

Author

Listed:
  • Hennie Husniah

    (Department of Industrial Engineering, Faculty of Engineering, Universitas Langlangbuana, Bandung 40261, Indonesia)

  • Ruhanda Ruhanda

    (Department of Industrial Engineering, Faculty of Engineering, Universitas Langlangbuana, Bandung 40261, Indonesia
    Indonesia Red Cross, Bandung 40135, Indonesia)

  • Asep K. Supriatna

    (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, Indonesia)

  • Md. H. A. Biswas

    (Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh)

Abstract

In some diseases, due to the restrictive availability of vaccines on the market (e.g., during the early emergence of a new disease that may cause a pandemic such as COVID-19), the use of plasma transfusion is among the available options for handling such a disease. In this study, we developed an SEIR mathematical model of disease transmission dynamics, considering the use of convalescent plasma transfusion (CPT). In this model, we assumed that the effect of CPT increases patient survival or, equivalently, leads to a reduction in the length of stay during an infectious period. We attempted to answer the question of what the effects are of different rates of CPT applications in decreasing the number of infectives at the population level. Herein, we analyzed the model using standard procedures in mathematical epidemiology, i.e., finding the trivial and non-trivial equilibrium points of the system including their stability and their relation to basic and effective reproduction numbers. We showed that, in general, the effects of the application of CPT resulted in a lower peak of infection cases and other epidemiological measures. As a consequence, in the presence of CPT, lowering the height of an infective peak can be regarded as an increase in the number of remaining healthy individuals; thus, the use of CPT may decrease the burden of COVID-19 transmission.

Suggested Citation

  • Hennie Husniah & Ruhanda Ruhanda & Asep K. Supriatna & Md. H. A. Biswas, 2021. "SEIR Mathematical Model of Convalescent Plasma Transfusion to Reduce COVID-19 Disease Transmission," Mathematics, MDPI, vol. 9(22), pages 1-16, November.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:22:p:2857-:d:676337
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/22/2857/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/9/22/2857/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Khalsaraei, Mohammad Mehdizadeh & Shokri, Ali & Ramos, Higinio & Heydari, Shahin, 2021. "A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 397-410.
    Full references (including those not matched with items on IDEAS)

    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. Abraham J. Arenas & Gilberto González-Parra & Jhon J. Naranjo & Myladis Cogollo & Nicolás De La Espriella, 2021. "Mathematical Analysis and Numerical Solution of a Model of HIV with a Discrete Time Delay," Mathematics, MDPI, vol. 9(3), pages 1-21, January.
    2. Eva Kaslik & Mihaela Neamţu & Loredana Flavia Vesa, 2021. "Global Stability Analysis of a Five-Dimensional Unemployment Model with Distributed Delay," Mathematics, MDPI, vol. 9(23), pages 1-15, November.
    3. Hoang, Manh Tuan, 2022. "Reliable approximations for a hepatitis B virus model by nonstandard numerical schemes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 32-56.
    4. Mohammad Mehdizadeh Khalsaraei & Ali Shokri & Higinio Ramos & Shao-Wen Yao & Maryam Molayi, 2022. "Efficient Numerical Solutions to a SIR Epidemic Model," Mathematics, MDPI, vol. 10(18), pages 1-15, September.
    5. Mohammad Mehdizadeh Khalsaraei & Ali Shokri & Samad Noeiaghdam & Maryam Molayi, 2021. "Nonstandard Finite Difference Schemes for an SIR Epidemic Model," Mathematics, MDPI, vol. 9(23), pages 1-13, November.
    6. Tri Nguyen-Huu & Pierre Auger & Ali Moussaoui, 2023. "On Incidence-Dependent Management Strategies against an SEIRS Epidemic: Extinction of the Epidemic Using Allee Effect," Mathematics, MDPI, vol. 11(13), pages 1-25, June.
    7. Xin Jiang, 2021. "Global Dynamics for an Age-Structured Cholera Infection Model with General Infection Rates," Mathematics, MDPI, vol. 9(23), pages 1-20, November.
    8. Hoang, Manh Tuan, 2022. "Positivity and boundedness preserving nonstandard finite difference schemes for solving Volterra’s population growth model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 199(C), pages 359-373.

    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:9:y:2021:i:22:p:2857-:d:676337. 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.