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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
6 Jan 2022

Given information

the differential equation   is given 

as a model for a fish population, where    is measured in weeks and   is a constant.

Step-by-step explanation

Step 1.

firstly we have to determine the value  for which there is at least one equilibrium solution

then secondly we have to find the values of c for which the fish population always die out.

The given modified logistic differential equation is  

 

here P(t) in the given differential equation represents a fish population at time t , and is measured in weeks .

 

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