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\section{Using the SIR Model to Model Yellow Fever}  \subsection{estimating parameters and $R_0$}  \begin{itemize}  \item how to estimate $R_0$  \end{itemize}  The recovery time for yellow fever is between 4-6 days. The graphs below have time intervals of one day on the x-axis, hence the parameter $\gamma$ should be calculated as the rate of recovery per day. Using the 4-6 day recovery time data, taking 5 as an average, it can be estimated the the parameter $\gamma$ is $\frac{1}{5}$.   \subsection{Graphical Representation}  \subsubsection{The Basis SIR model}