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Solver for the SIR Epidemic Model with Births and Deaths

Warren Weckesser


This form allows you to solve the differential equations of the SIR model of the spread of a disease. This version of the equations incorporates births and deaths.

S'(t) = β(S+I+R) - α S I - μ S
I'(t) = α S I - γ I - μ I
R'(t) = γ I - μ R

Enter the following data, then click on Show Solution.

Parameters:    
α =
γ =
β =
μ =
Initial conditions:    
S(0) =
I(0) =
R(0) =
Time:
  
Copyright © 2007 Warren Weckesser