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Simple Dynamics of Epidemics, the Reproduction Number

​
infection rate β
1.
recovery rate γ
0.1
In epidemiology, the basic reproduction number
R
0
is the expected number of new infections from a single infection in a population where all subjects are susceptible [1]. This metric is useful because it helps determine whether or not an infectious disease can spread through a population. When
R
0
<1
, the infection will die in the long run. But if
R
0
>1
, the infection will spread in the population. Generally, the greater the value of
R
0
, the harder it is to control the epidemic. This Demonstration solves a simple epidemic model and shows the conditions necessary for the outbreak of an infection to result in an epidemic.
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