A rabbit population on an island increases exponentially with growth rate k = 0.12 months 1 .
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A rabbit population on an island increases exponentially with growth rate k = 0.12 months−1. When the population reaches 300 rabbits (say, at time t = 0), wolves begin eating the rabbits at a rate of r rabbits per month.
(a) Find a differential equation satisfied by the rabbit population P(t).
(b) How large can r be without the rabbit population becoming extinct?
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a The rabbit population Pt obeys the differential equation dP dt where the ...View the full answer
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