Point (3, 7) is a critical point of a population model. The Jacobian matrix of the population model is given below: J(x, y) = x y-77 L3-x Y If the initial populations are: x(0) = 3.07, y(0) = 7.012, from below options, select the correct description of a(t) and y(t) in the long run: In the long run when t
Point (3, 7) is a critical point of a population model. The Jacobian matrix of the population model is given below: J(x, y) = x y-77 L3-x Y If the initial populations are: x(0) = 3.07, y(0) = 7.012, from below options, select the correct description of a(t) and y(t) in the long run: In the long run when t
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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![Point (3, 7) is a critical point of a population model. The Jacobian matrix of the population model
is given below:
y-77
[1]
J(x, y) =
Y
If the initial populations are: x(0) = 3.07, y(0) = 7.012,
from below options, select the correct description of a(t) and y(t) in the long run:
In the long run when too, both a(t) and y(t) will grow out of control to infinity.
None of the provided choices is correct.
In the long run when too, a(t) will grow out of control to infinity, but y(t) will converge to 7.
In the long run when too, a(t) will converge to 3, but y(t) will grow out of control to infinity.
In the long run when too, a(t) will converge to 3 and y(t) will converge to 7.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b1c1217-3ca9-48af-b155-11a2efe4ee10%2F0b9c5298-c657-4273-9d1b-52f05f02eace%2F7xkb3qs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Point (3, 7) is a critical point of a population model. The Jacobian matrix of the population model
is given below:
y-77
[1]
J(x, y) =
Y
If the initial populations are: x(0) = 3.07, y(0) = 7.012,
from below options, select the correct description of a(t) and y(t) in the long run:
In the long run when too, both a(t) and y(t) will grow out of control to infinity.
None of the provided choices is correct.
In the long run when too, a(t) will grow out of control to infinity, but y(t) will converge to 7.
In the long run when too, a(t) will converge to 3, but y(t) will grow out of control to infinity.
In the long run when too, a(t) will converge to 3 and y(t) will converge to 7.
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