Age Structured SIR Models With Quarantining And Vaccination

In a time dominated by the effects of the COVID-19 global pandemic, disease models become an in- valuable tool to model the behavior and progression of infectious diseases. This thesis will investigate a simple SIR disease model stratified by age to see how the adjustment of variables affects the peak infected population. The thesis will further analyze the impacts of quarantining and vaccination on peak hospitalization rates. The thesis will also analyze contact matrices and how various contact pat- terns affect the overall pattern of an outbreak. The model will further investigate how the differences in hospitalization rates among age groups affects the overall peak hospitalization rates. The results of the model simulations suggest that the most effective treatment is to the group that interacts the most proportionally compared to other groups. The results also show a large relative effect in lowering the peak hospitalization rate when vaccination treatment is applied to the more at-risk groups.