The initial mass of a certain species of fish is 7 million tons. The mass of...

The initial mass of a certain species of fish is 7 million tons. The mass of fish, if left alone, would increase at a rate proportional to the mass, with a proportionality constant of 2/yr initially, but over time if the population gets too high it would reach a maximum sustainable population of 50 million tons.

1. Suppose, commercial fishing removes fish mass at a constant rate of 15 million tons per year. Set up the initial value problem which determines the fish mass, F(t), in millions of tons at time t in years.

2. For your harvesting model above, what will the long term behavior of the fish population be?

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Expert Solution

milcah answered 1 year ago

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