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Mathematics, 27.02.2020 02:30 kmcpig

Consider a prolific breed of rabbits whose birth and death rates b, d are each proportional to therabbit population P = P(t). with b > d.(a) * Show that P(t) =P01 kP0twhere k is constant. Note that P(t) ! +¥ as t ! 1kP0. This is doomsday.(b) * Suppose that P0 = 6 and that there are nine rabbits after ten months. When does doomsdayoccur?

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