. Consider a population P .t / satisfying the logistic
Chapter , Problem 51(choose chapter or problem)
. Consider a population P .t / satisfying the logistic equation dP=dt D aP bP2, where B D aP is the time rate at which births occur and D D bP2 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 limiting population is M D B0P0=D0.
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