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Equation X[n+1]

  1. Feb 11, 2008 #1
    1. The problem statement, all variables and given/known data

    # healthy people = # people staying healthy + # new healthy people

    The odds of staying healthy are a, so
    # people staying healthy = a * # healthy people

    New healthy people are sick people who did not stay sick. The odds of staying sick are B, so the odds of NOT remaining sick, i.e. new healthy people is (1-B), so
    # new healthy people = (1-B) * # sick people




    2. Relevant equations



    3. The attempt at a solution
    So if Y is the number of healthy people and X is the number of sick people at a given time,
    Y[n+1] = a*Y[n] + (1-B)*X[n]

    what would the equation for X[n+1]?
    thank you
     
  2. jcsd
  3. Feb 11, 2008 #2

    arildno

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    Regard the total population as equalling some constant P.
    What is then the relationship between Yn and Xn?
     
  4. Feb 11, 2008 #3
    i dont know
    ??
     
  5. Feb 11, 2008 #4

    arildno

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    Well, then Xn=P-Yn. Agreed?
     
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