deletions | additions       diff --git a/With_R_0_being_calculated_using__.tex b/With_R_0_being_calculated_using__.tex  index 7f52554..3f09320 100644  --- a/With_R_0_being_calculated_using__.tex  +++ b/With_R_0_being_calculated_using__.tex 
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With $R_0$ being calculated using the method above or otherwise, the aforementioned herd immunity threshold can be calculated. This is through the formula:  \begin{equation} \begin{equation*}  P_{critical} = 1 - \frac{1}{R_0}  \end{equation} \end{equation*}  Plotting the graph of $y=1-\frac{1}{x}$ leads to the graph shaped as below:  *insert graph here*  The graph shows that as $R_0$ rises, the proportional of the population that must be vaccinated rises very quickly. Measles can be used as an example for showing the equation in use, as the $R_0$ value for measles is widely accepted as accurate.  The accepted value for $R_0$ of measles is 15. The calculation using this value follows:  \begin{equation} \begin{equation*}  P_{critical} = 1-\frac{1}{R_0} = 93\%  \end{equation} \end{equation*}  This shows that for diseases with a high $R_0$ value, the critical proportion of the population is very high, so high that it would be considered impossible in countries that are less economically developed.