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Thread: Stochastic Matrix Initial Setup

  1. #1
    Junior Member
    Aug 2009

    Stochastic Matrix Initial Setup

    I want to make sure I am setting up the following problem correctly...

    A medical researcher is studying the spread of a virus in a population of 1000 mice. During any week there is an 80% probability that an infected mouse will overcome the virus, and during the same week there is a 10% probability that a noninfected mouse will become infected. One hundred mice are currently infected with the virus.

    The matrix I have is:
    $\displaystyle \left(\begin{array}{cc}0.20&0.10\\0.80&0.90\end{ar ray}\right) $

    and then for the initial numbers matrix:
    $\displaystyle X = \left(\begin{array}{c}100\\900\end{array}\right)$
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  2. #2
    Senior Member
    Apr 2009
    Atlanta, GA
    Yes, you are correct.
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