Difference between revisions of "SIR Modeling"


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The dynamics are given by the following 3 equations.
 
The dynamics are given by the following 3 equations.
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<!-- {{#tag:math|S_{t+1} = S_t - \beta S_t I_t }} -->
  
 
<center><math>S_{t+1} = S_t - \beta S_t I_t</math></center>
 
<center><math>S_{t+1} = S_t - \beta S_t I_t</math></center>
  
<!-- {{#tag:math|S_{t+1} = S_t - \beta S_t I_t }} -->
+
<center><math>S_{t+1} = S_t - \beta S_t I_t</math></center>
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<center><math>S_{t+1} = S_t - \beta S_t I_t</math></center>

Revision as of 13:44, 2 April 2020

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]
[math]S_{t+1} = S_t - \beta S_t I_t[/math]