Difference between revisions of "SIR Modeling"
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S_{t+1} = S_t - \beta S_t I_t | S_{t+1} = S_t - \beta S_t I_t | ||
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+ | {{#tag:math|S_{t+1} = S_t - \beta S_t I_t }} |
Compartmental Modeling
Discrete-time SIR modeling of infections/recovery
The model consists of individuals who are either Susceptible ([math]S[/math]), Infected ([math]I[/math]), or Recovered ([math]R[/math]).
The epidemic proceeds via a growth and decline process. This is the core model of infectious disease spread and has been in use in epidemiology for many years.
The dynamics are given by the following 3 equations.
[math] S_{t+1} = S_t - \beta S_t I_t [/math]
[math]S_{t+1} = S_t - \beta S_t I_t [/math]
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