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