Difference between revisions of "SIR Modeling"
Line 22: | Line 22: | ||
:<math>I</math> number of infected individuals, | :<math>I</math> number of infected individuals, | ||
:<math>R</math> number of recovered individuals, | :<math>R</math> number of recovered individuals, | ||
− | + | :<math>\beta</math> the average number of contacts per person per time, | |
− | <math>\beta</math> the average number of contacts per person per time, | + | :<math>\gamma</math> the transition rate. |
− | |||
− | <math>\gamma</math> the transition rate. |
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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