IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/2449710.html
   My bibliography  Save this article

Mathematical Modeling and Analysis of TB and COVID-19 Coinfection

Author

Listed:
  • Kassahun Getnet Mekonen
  • Shiferaw Feyissa Balcha
  • Legesse Lemecha Obsu
  • Abdulkadir Hassen

Abstract

Tuberculosis (TB) and coronavirus (COVID-19) are both infectious diseases that globally continue affecting millions of people every year. They have similar symptoms such as cough, fever, and difficulty breathing but differ in incubation periods. This paper introduces a mathematical model for the transmission dynamics of TB and COVID-19 coinfection using a system of nonlinear ordinary differential equations. The well-posedness of the proposed coinfection model is then analytically studied by showing properties such as the existence, boundedness, and positivity of the solutions. The stability analysis of the equilibrium points of submodels is also discussed separately after computing the basic reproduction numbers. In each case, the disease-free equilibrium points of the submodels are proved to be both locally and globally stable if the reproduction numbers are less than unity. Besides, the coinfection disease-free equilibrium point is proved to be conditionally stable. The sensitivity and bifurcation analysis are also studied. Different simulation cases were performed to supplement the analytical results.

Suggested Citation

  • Kassahun Getnet Mekonen & Shiferaw Feyissa Balcha & Legesse Lemecha Obsu & Abdulkadir Hassen, 2022. "Mathematical Modeling and Analysis of TB and COVID-19 Coinfection," Journal of Applied Mathematics, Hindawi, vol. 2022, pages 1-20, March.
    • Handle: RePEc:hin:jnljam:2449710
    DOI: 10.1155/2022/2449710
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2022/2449710.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2022/2449710.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/2449710?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

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


    Cited by:

    1. Ojo, Mayowa M. & Peter, Olumuyiwa James & Goufo, Emile Franc Doungmo & Nisar, Kottakkaran Sooppy, 2023. "A mathematical model for the co-dynamics of COVID-19 and tuberculosis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 499-520.
    2. Ali Algarni & Afnan D. Al Agha & Aisha Fayomi & Hakim Al Garalleh, 2023. "Kinetics of a Reaction-Diffusion Mtb/SARS-CoV-2 Coinfection Model with Immunity," Mathematics, MDPI, vol. 11(7), pages 1-25, April.
    3. Adesoye Idowu Abioye & Olumuyiwa James Peter & Emmanuel Addai & Festus Abiodun Oguntolu & Tawakalt Abosede Ayoola, 2024. "Modeling the impact of control strategies on malaria and COVID-19 coinfection: insights and implications for integrated public health interventions," Quality & Quantity: International Journal of Methodology, Springer, vol. 58(4), pages 3475-3495, August.
    4. Ahmed M. Elaiw & Afnan D. Al Agha, 2023. "Analysis of the In-Host Dynamics of Tuberculosis and SARS-CoV-2 Coinfection," Mathematics, MDPI, vol. 11(5), pages 1-24, February.

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnljam:2449710. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.