A simple Usher model of a certain organism tracks immature and .2 3 mature classes, and is given by the matrix P .3 .5 a. On average, how many births are attributed to each adult in a time step? b. What percentage of adults die in each time step? c. Assuming no immature individuals are able to reproduce in a time

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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2.2.5. A simple Usher model of a certain organism tracks immature and
(.2 3
mature classes, and is given by the matrix P
.3 .5
a. On average, how many births are attributed to each adult in a time
step?
b. What percentage of adults die in each time step?
c. Assuming no immature individuals are able to reproduce in a time
step, what is the meaning of the upper left entry in P?
d. What is the meaning of the lower left entry in P?
Transcribed Image Text:2.2.5. A simple Usher model of a certain organism tracks immature and (.2 3 mature classes, and is given by the matrix P .3 .5 a. On average, how many births are attributed to each adult in a time step? b. What percentage of adults die in each time step? c. Assuming no immature individuals are able to reproduce in a time step, what is the meaning of the upper left entry in P? d. What is the meaning of the lower left entry in P?
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