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(Solution Library) A model for the population, P(t), of carp in a landlocked lake is given by the differential equation (dP)/(dt)=0.25P(1-0.0004P) What is the

Question: A model for the population, \(P(t)\), of carp in a landlocked lake is given by the differential equation

\[\frac{dP}{dt}=0.25P(1-0.0004P)\]
  1. What is the long-term equilibrium population of carp in the lake?
  2. Ten years ago a census was taken and there were found to be 1000 carp in the lake. Estimate the current size of the population.
  3. It is planned to join the lake to a nearby river so that the fish will be able to leave the lake. It is estimated that there will be a net loss of 10% of the carp each year but that the patterns of birth and death are not expected to change. Revise the differential equation to take this into account. Use the revised differential equation to predict the future development of the carp population.

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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document


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