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Suppose there is an epidemic in which every month half of those who are well become sick, half of those who are sick get well, and a quarter of those who are sick die. Find the steady state for the corresponding Markov process
$\left(\begin{array}{l} w_{n+1} \\ s_{n+1} \\ d_{n+1} \end{array}\right)=\left(\begin{array}{ccc} \frac{1}{2} & \frac{1}{2} & 0 \\ \frac{1}{2} & \frac{1}{4} & 0 \\ 0 & \frac{1}{4} & 1 \end{array}\right)\left(\begin{array}{l} w_{n} \\ s_{n} \\ d_{n} \end{array}\right)$
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