= 2P dt | 50 for a species of fish in a lake. Suppose it is decided that fishing will be allowed, but it is unclear how many fishing licenses should be issued. Suppose the average catch of a fisherman with a license is 3 fish per year (these are hard fish to catch). (a) What is the largest number of licenses we should issue if the fish are to have a chance to survive in the lake? (b) Suppose the number of fishing licenses in part (a) is issued. What will happen to the fish population - that is, how does the behavior of the population depend on the initial population?
= 2P dt | 50 for a species of fish in a lake. Suppose it is decided that fishing will be allowed, but it is unclear how many fishing licenses should be issued. Suppose the average catch of a fisherman with a license is 3 fish per year (these are hard fish to catch). (a) What is the largest number of licenses we should issue if the fish are to have a chance to survive in the lake? (b) Suppose the number of fishing licenses in part (a) is issued. What will happen to the fish population - that is, how does the behavior of the population depend on the initial population?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Part (b)
Transcribed Image Text:5. 1.7.19 Consider the population model
dP
p2
2P
dt
50
for a species of fish in a lake. Suppose it is decided that fishing will be allowed, but it is
unclear how many fishing licenses should be issued. Suppose the average catch of a fisherman
with a license is 3 fish per year (these are hard fish to catch).
(a) What is the largest number of licenses we should issue if the fish are to have a chance
to survive in the lake?
(b) Suppose the number of fishing licenses in part (a) is issued. What will happen to the
fish population - that is, how does the behavior of the population depend on the initial
population?
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