Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population for...
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Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 7000. The number of fish tripled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation P R), K dP dt = kP 1 determine the constant k, and then solve the equation to find an expression for the size of the population after t years. k = P(t) = (b) How long will it take for the population to increase to 3500 (half of the carrying capacity)? It will take years. Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 7000. The number of fish tripled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation P R), K dP dt = kP 1 determine the constant k, and then solve the equation to find an expression for the size of the population after t years. k = P(t) = (b) How long will it take for the population to increase to 3500 (half of the carrying capacity)? It will take years.
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As per the question P0500 P13x5001500 a dXP 11 dt For the population to be maximum P120P0k Since ... View the full answer
Related Book For
Elementary Statistics
ISBN: 978-0538733502
11th edition
Authors: Robert R. Johnson, Patricia J. Kuby
Posted Date:
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