In a fish farm, a population of fish is introduced into a pond and harvested regularly. A model for the rate of change of the fish population is given by the equation
where r0 is the birth rate of the fish,
(a) What value of dP/dt corresponds to a stable population?
(b) If the pond can sustain 10, 000 fish, the birth rate is 5%, and the harvesting rate is 4%, find the stable population level.
(c) What happens if
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