Chapter 4.4, Problem 184E

It is more likely that the amount of fishing is governed by the current number of fish present, so instead of a constant number of fish being caught, the rate is proportional to the current number of fish present, with proportionality constant k, as

   $P\text{'}=0.4P\left(1-\frac{P}{10000}\right)-kP$

184. [T] For the previous fishing problem, draw a directional field assuming k = 0.1. Draw some solutions that exhibit this behavior. What are the equilibria and what are their stabilities?