Suppose that a one-celled organism can be in one of two states-either A or B. An individual

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Suppose that a one-celled organism can be in one of two states-either A or B. An individual in state A will change to state B at an exponential rate a; an individual in state B divides into two new individuals of type A at an exponential rate . Define an appropriate continuous-time Markov chain for a population of such organisms and determine the appropriate parameters for this model.

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