SIR Model Dynamics: Insights into Epidemics and Vaccination
DOI:
https://doi.org/10.52575/2712-746X-2024-51-1-145-156Keywords:
SIR Model, Epidemic Dynamics, Mathematical Modeling of Infectious Diseases, Vaccination Strategies, Contact Ratio and Disease SpreadAbstract
This research focuses on the SIR mathematical model, analyzing disease dynamics in populations. The SIR model classifies individuals into Susceptible, Infectives, and Removed categories, guided by differential equations and key assumptions. Addressing questions on disease spread, maximum infectives, total impact, epidemic cessation, and vaccination effects, the study emphasizes the contact ratio's role. A high contact ratio leads to widespread disease, influencing infective numbers and population impact. Epidemic cessation depends on reducing the contact ratio, enhancing recovery rates, and vaccination. The study underscores vaccination coverage's importance, considering effectiveness and population immunization for effective pandemic control, particularly relevant in the context of COVID-19.
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