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Articles

Vol. 1 No. 2 (2025): Volume 1 Issue 2 2025

Modeling the Dynamics of COVID-19 Transmission and the Effects of Prevention Measures Mathematically

  • Abriham
  • Dejene Abayneh Elias
Submitted
June 13, 2026
Published
2025-04-27

Abstract

World Health Organization (WHO) officials identified new coronavirus illness (COVID-19) as a serious
public health concern at the year's conclusion, and they emphasized the need of finding alternatives to pharmaceuticals
in combating the disease. Using mathematical modeling using the fundamental (main) compartments, the majority of
writers have explored the dynamics of COVID-19 transmission. Here, we provide a mathematical model of COVID-19
transmission dynamics that accounts for almost every situation that can be considered right now. We have also looked at
how control and preventative measures have fared. Boundedness, positivity of solutions, stability analysis, epidemic
equilibrium point, basic reproduction number, and local stability of the disease free equilibrium are all fundamental
features that an infectious disease model should have. The model has fulfilled all of these criteria. To examine the
effects of remaining inside, wearing a mask, washing hands often, etc., we included a self-protection parameter, m.
There has been an analysis of the effects of quarantine and isolation on the number of exposed, infected, and deceased
individuals. Not only that, but researchers have also looked at how symptomatic and asymptomatic people affect the
fundamental reproduction number. According to the study's numerical simulations, the government needs to raise the
rates of isolation, quarantine, and self-protection. Also, everyone, symptomatic and especially asymptomatic, has to take
extreme precautions to prevent the spread of the virus, which will reduce the amount of time when susceptible and
asymptotic people come into touch with one another.