An efficient mathematical model for the Outbreak of COVID-19from the perspective of numerical analysis

Hossein  Gholami; Mortaza  Gachpazan; Majid  Erfanian

doi:10.24996/ijs.2025.66.11.34

Authors

Hossein Gholami Department of Applied Mathematics, Faculty of Mathematical Science, Ferdowsi
Mortaza Gachpazan Department of Applied Mathematics, Faculty of Mathematical Science, Ferdowsi
Majid Erfanian Department of Mathematics, Faculty of Science, University of Zabol, Zabol, Iran https://orcid.org/0000-0001-8449-9272

DOI:

https://doi.org/10.24996/ijs.2025.66.11.34

Keywords:

Susceptible individuals, High-risk individuals, Low-risk individuals, Basic reproduction number

Abstract

In this paper, we developed an epidemic model for COVID-19 by using compartmental analysis. In our model, we divided susceptible individuals into two separate groups: one for high-risk individuals and another for those at low risk. In this work, we have proved theorems about the non-negativity and boundedness of the solutions. Afterward, we obtained a disease-free equilibrium point and an endemic equilibrium point. We calculated the basic reproduction number using the next-generation matrix method and then we expressed theorems about the local and global stability of equilibria, finally, we have gone to the sensitivity analysis and numerical analysis.