(a) Suppose that a study of coho salmon suggests the population model p n + 1 = 2.08 p n 1 + 0.00018 p n Where p 0 = 10 , 000 is the number of salmon at the start of the study and p n is the population n years later. Based upon this model, what will the population of salmon be 10 years after the start of the study? (b) Find a value of an initial population p 0 > 0 of coho salmon such that, with the recursion formula in part (a), the population remains fixed at p 0 from year to year.
(a) Suppose that a study of coho salmon suggests the population model p n + 1 = 2.08 p n 1 + 0.00018 p n Where p 0 = 10 , 000 is the number of salmon at the start of the study and p n is the population n years later. Based upon this model, what will the population of salmon be 10 years after the start of the study? (b) Find a value of an initial population p 0 > 0 of coho salmon such that, with the recursion formula in part (a), the population remains fixed at p 0 from year to year.
(a) Suppose that a study of coho salmon suggests the population model
p
n
+
1
=
2.08
p
n
1
+
0.00018
p
n
Where
p
0
=
10
,
000
is the number of salmon at the start of the study and
p
n
is the population n years later. Based upon this model, what will the population of salmon be 10 years after the start of the study?
(b) Find a value of an initial population
p
0
>
0
of coho salmon such that, with the recursion formula in part (a), the population remains fixed at
p
0
from year to year.
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