A Mathematical Model for COVID-19 and Tuberculosis Coinfection with the Effect of a Quarantine Measure

Authors

  • Julito Puebla Caraga State University Cabadbaran Campus
  • Jay Michael Macalalag Caraga State University, 8600 Butuan Cit
  • Kaye Y. Pajaron Caraga State University, 8600 Butuan Cit

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6149

Keywords:

COVID-19, Tuberculosis, Stability Analysis, Reproduction Number

Abstract

In this paper, a deterministic mathematical model for the transmission dynamics of COVID-19 and tuberculosis co-infection, using a system of nonlinear ordinary differential equations, is proposed and analyzed. We begin our mathematical analysis of the COVID-19 and tuberculosis sub-models by establishing the existence, uniqueness, non-negativity, and boundedness of the solutions. Subsequently, we determine the equilibrium points and the reproduction numbers of the sub-models as well as the co-infection model. We then proceed to prove that the disease-free equilibrium point of each sub-model and the co-infection model is locally and globally asymptotically stable if its corresponding reproduction number is less than 1 and unstable otherwise. Moreover, if the reproduction number is greater than 1, then the corresponding sub-model is locally asymptotically stable at the endemic equilibrium point. Numerical simulations are conducted to validate the theoretical findings. This study demonstrates that effective quarantine measures are crucial for controlling and potentially eradicating COVID-19 and tuberculosis co-infections.

Author Biographies

  • Jay Michael Macalalag, Caraga State University, 8600 Butuan Cit

    Department of Mathematics, Associate Professor V

  • Kaye Y. Pajaron, Caraga State University, 8600 Butuan Cit

    Mathematics Department, Instructor

Downloads

Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Mathematical Modeling and Numerical Analysis

License

Copyright (c) 2025 Julito Puebla, Jay Michael Macalalag, Kaye Y. Pajaron

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

A Mathematical Model for COVID-19 and Tuberculosis Coinfection with the Effect of a Quarantine Measure. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6149. https://doi.org/10.29020/nybg.ejpam.v18i3.6149