Suppose we have the female population of a species is divided into juveniles, yearlings, and adults and that each year 90% of the juveniles live to be yearlings. 80% of the yearlings live to be adults. 60% of the adults survive to the next year. 50% of the adults give birth to a juvenile. Set up a system of the form xk+1=Axk that describes this situation. Find the eigenvalues of the matrix .A. 1 Evaluate (Sage) What prediction can you make about these populations after a very long time?
Suppose we have the female population of a species is divided into juveniles, yearlings, and adults and that each year 90% of the juveniles live to be yearlings. 80% of the yearlings live to be adults. 60% of the adults survive to the next year. 50% of the adults give birth to a juvenile. Set up a system of the form xk+1=Axk that describes this situation. Find the eigenvalues of the matrix .A. 1 Evaluate (Sage) What prediction can you make about these populations after a very long time?
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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5.
Suppose we have the female population of a species is divided into juveniles, yearlings, and adults and that each year
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90% of the juveniles live to be yearlings.
-
80% of the yearlings live to be adults.
-
60% of the adults survive to the next year.
-
50% of the adults give birth to a juvenile.
-
Set up a system of the form xk+1=Axk that describes this situation.
-
Find the eigenvalues of the matrix .A.
1 -
What prediction can you make about these populations after a very long time?
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If the birth rate goes up to 80%, what prediction can you make about these populations after a very long time? For every 100 adults, how many juveniles, and yearlings are there?
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