Imagine a disease that is transmitted with a rate beta=0.5 and recovery happens at a rate gamma=0.2. What percentage of the population would have to be vaccinated in order to prevent an epidemic from starting? (Round to the nearest whole number-- it should be an integer between 0 and 100. E.g. enter 87 for 87%)
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ANSWER:-
For such type of question you have to calculate Ro(the average ho of seconddry cases ansing proman average primary case in an enfirely subcaptible population.
R0 = beta/gamma
ingiven question beta = 0.5 & gamma = 0.2
So R0 value = 0.5/0.2 = 2.5
Ro value = 2.5
Ip Ro is 2.5 then 1/Ro is 0.4
So to control the disease less then 0.4 fraction of the population be subcaptible or more than 60% be immune or nonsubcaptible so you have vacunate 40% of the population to prevent the disease.
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