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 186. [T] Use software or a calculator to draw directional fields for k = 0.6. What are the equilibria and 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 186. [T] Use software or a calculator to draw directional fields for k = 0.6. What are the equilibria and 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
186. [T] Use software or a calculator to draw directional fields for k = 0.6. What are the equilibria and their stabilities?
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