What does population vector, Π=(P1,P2,P3r,P3w)T mean ? How do this formula describe the overall state probability? (there are state 1, state 2 and state 3w, 3r)

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What does population vector, Π=(P1,P2,P3r,P3w)mean ? How do this formula describe the overall state probability?

(there are state 1, state 2 and state 3w, 3r)

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Then, what does the equation, d/dt Π = MΠ means? (where M is a 4x4 transition rate matrix)

 

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