. Consider a population P .t / satisfying the

Chapter , Problem 54

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. Consider a population P .t / satisfying the extinctionexplosion equation dP=dt D aP2 bP, where B D aP2 is the time rate at which births occur and D D bP is the rate at which deaths occur. If the initial population is P .0/ D P0 and B0 births per month and D0 deaths per month are occurring at time t D 0, show that the threshold population is M D D0P0=B0.

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