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\section{Methodology of estimating $R_0$ for Yellow Fever}  It is very difficult to determine an accurate value for $R_0$ for any disease. This is especially true in the case of yellow fever, where there is not a plentiful source of data on transmission rate statistics, merely the occasional update from the World Health Organisation.   \\However, taking into account local geographical considerations, combined with other estimated values for diseases of similar transmission, progression, and transmission, one can make an estimation for  the $R_0$ value used in values for yellow fever by using $R_0$ values for similar diseases, where there is a larger amount of better quality data than yellow fever. Although  this exploration will be considered is an imperfect estimation, it is still a reasonably accurate assumption  to make so that its results may  be applied. The $R_0$ value for malaria, a disease with similar geographical considerations and transmission method, is  approximately 20. 20, so an $R_0$ value of 20 shall be used here.