Difference between revisions of "SIR Modeling"
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Discrete-time SIR modeling of infections/recovery | Discrete-time SIR modeling of infections/recovery | ||
− | The model consists of individuals who are either | + | 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 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 | + | The dynamics are given by the following 3 equations; |
<!-- {{#tag:math|S_{t+1} = S_t - \beta S_t I_t }} --> | <!-- {{#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;
where;
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