0.2 0.7 In old-growth forests of Douglas fir, the spotted owl dines mainly on flying squirrels. Suppose the predator-prey matrix for the two populations is A = and assume that any initial vector x, has -p 1.5 an eigenvector decomposition x, = C, V, +... + C, V, such that c, > 0. Show that if the predation parameter p is 0.375, both populations grow. Estimate the long-term growth rate and the eventual ratio of owls to flying squirrels. If p= 0.375, the eigenvalues of A are 1.25,0.45 . Both populations grow because of these eigenvalues is/are greater than 1. one (Use a comma to separate answers as needed.) The long-term growth rate of both populations is about 25 %. Eventually, the two populations will be in the simplified ratio of approximately spotted owl(s) to every thousand flying squirrels. (Type whole numbers.)
0.2 0.7 In old-growth forests of Douglas fir, the spotted owl dines mainly on flying squirrels. Suppose the predator-prey matrix for the two populations is A = and assume that any initial vector x, has -p 1.5 an eigenvector decomposition x, = C, V, +... + C, V, such that c, > 0. Show that if the predation parameter p is 0.375, both populations grow. Estimate the long-term growth rate and the eventual ratio of owls to flying squirrels. If p= 0.375, the eigenvalues of A are 1.25,0.45 . Both populations grow because of these eigenvalues is/are greater than 1. one (Use a comma to separate answers as needed.) The long-term growth rate of both populations is about 25 %. Eventually, the two populations will be in the simplified ratio of approximately spotted owl(s) to every thousand flying squirrels. (Type whole numbers.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:0.2 0.7
In old-growth forests of Douglas fir, the spotted owl dines mainly on flying squirrels. Suppose the predator-prey matrix for the two populations is A =
and assume that any initial vector x, has
-p 1.5
an eigenvector decomposition xp = C, V, +... + c, V, such that c, > 0. Show that if the predation parameter p is 0.375, both populations grow. Estimate the long-term growth rate and the eventual ratio of
owls to flying squirrels.
If p = 0.375, the eigenvalues of A are 1.25,0.45 . Both populations grow because
of these eigenvalues is/are greater than 1.
one
(Use a comma to separate answers as needed.)
The long-term growth rate of both populations is about 25 %.
Eventually, the two populations will be in the simplified ratio of approximately spotted owl(s) to every
thousand flying squirrels.
(Type whole numbers.)
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