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6 Jan 2022

Given information

The modified logistic differential equation  is a model for a fish population.

Step-by-step explanation

Step 1.

The modified logistic differential equation   is a model for a fish population.

where P(t) in that differential equation represents a fish population at time t , and t measures in weeks.

From this equation , the rate of population decreases if  

As c is an external factor , in this case it is fishing.

From part (b) and (c) there is at least one equilibrium solution if   

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