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 ' = 0.4 P ( 1 − P 10000 ) − k P 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?
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 ' = 0.4 P ( 1 − P 10000 ) − k P 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?
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
'
=
0.4
P
(
1
−
P
10000
)
−
k
P
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?
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