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It can be calculated by multiplying the transmission risk with the average number of contacts per day. Every person who becomes infected is one less person who is susceptible. In other words, the fraction of susceptible people will go down at the same rate as the fraction of infected people goes up.
What conditions are measured by R0? R0 can be used to measure any contagious disease that may spread in a susceptible population. Some of the most highly contagious conditions are measles and the common flu. More serious conditions, such as Ebola and HIV, spread less easily between people.
Pertussis (whooping cough) has a high R0: 15-17. Untreated tuberculosis' R0=10 while influenza's R0 is usually less than 2.
0:40 8:27 Suggested clip Running the SIR Model — YouTubeYouTubeStart of suggested client of suggested clip Running the SIR Model — YouTube
0:38 8:27 Suggested clip Running the SIR Model — YouTubeYouTubeStart of suggested client of suggested clip Running the SIR Model — YouTube
SIR model. The SIR model is a simple mathematical model of epidemics. An epidemic is when the number of people infected with a disease is increasing in a population. These are people who have recovered from the disease and are immune, so they can no longer be infected with the disease.
The SIR Epidemic Model The SIR model is governed by the differential equations in (1). Beta is the infection rate of the pathogen, and gamma is the recovery rate. Together, these two values give the basic reproduction number R0: the average number of secondary infections caused by an infected host.
The SIR (susceptible-infected-removed) model, developed by Ronald Ross1, William Hammer, and others in the early twentieth century [4], consists of a system of three coupled non-linear ordinary differential equations, which does not possess an explicit formula solution.
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