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B How were differential equations for SIR Models calculated?

  1. Dec 11, 2016 #1
    • Member advised to do some research before posting
    Specifically:
    sireqn.png
     
  2. jcsd
  3. Dec 11, 2016 #2

    fresh_42

    Staff: Mentor

  4. Dec 11, 2016 #3
  5. Dec 11, 2016 #4

    fresh_42

    Staff: Mentor

    What do you mean by proof?
    These models are a method to describe what actually happens. It can only be said to which extend their solutions are proper descriptions of reality or not, i.e. whether a certain choice of parameters and initial conditions lead to such a valid description or not. So a "proof" can only be a comparison with empiric data. SIR models are a class of models, depending on the choice of ##\beta, \gamma## and eventually ##N## plus initial conditions like ##\left. \frac{dS}{dt}\right|_{t=0} =S_0##. I would look for the original paper of Reed and Frost or the links on the Wiki page. Also the SARS outbreak in 2002/2003 could provide several data for comparisons.
     
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