Publication Date
2-19-2025
Keywords
Compartmental model, SIR model, SIRS model, non-pharmaceutical interventions
Disciplines
Mathematics | Ordinary Differential Equations and Applied Dynamics
Abstract
We consider an extension to the classical SIR compartmental model from mathematical epidemiology as applied to the spread of COVID-19 on a college campus. While the classical SIR model does not allow for recovered individuals to lose immunity, we alter the equations to allow for such (due to the rise of new variants), leading to a SIRS-type model. We study the system of ODEs analytically and through numerical simulation. Finally we discuss a quantitative approach for how college administrators can decide when to implement stricter non-pharmaceutical interventions (social distancing, mask mandates, quarantine, etc.) to eradicate the infection from the campus population.
Recommended Citation
Kotas, Jakob and Perey Ratonel, Priscilla
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"Modeling COVID-19 spread and effects of non-pharmaceutical interventions on a college campus,"
CODEE Journal:
Vol. 19, Article 1.
Available at:
https://scholarship.claremont.edu/codee/vol19/iss1/1