(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement

The DE governing a fish pop. P(t) with harvesting proportional to the population is given by:

P'(t)=(b-kP)P-hP

where b>0 is birthrate, kP is deathrate, where k>0, and h is the harvesting rate. Model assumes that the death rate per individual is proportional to the pop. size. An equilibrium point for the DE is a value of P so that P'(t)=0.

Find general solution of the DE, when..

a) h>b

b) h=b

c) h<b

3. The attempt at a solution

I'm having problems figuring out how to set up parts a) and c). I'm horrible at DE, so if any one could help point me in the right direction, it would be greatly appreciated.

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# Differential Equations - Population Dynamics

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