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in this video were going to investigate the mathematics of an epidemic thats spreading around the world how can researchers around the world come up with mathematical models that predict things such as what is the rate of a spread epidemic how bad is the epidemic going to be and so in this video were going to study a simple epidemic model called the SI R model the idea works as follows Im going to imagine taking all the people in the world and dividing them into three different categories the first category is called susceptibles susceptibles are all of the people that are capable of becoming sick from an infection in this case well assume we have some sort of infection that is capable of infecting everybody so at the beginning everybody is going to be susceptible then we have the second category of people those are the people who are infected and when you become and that did you leave the susceptible category for most diseases after youve gotten it after youve been infected yo