Compartment models A rodent population can be divided into juveniles, subadults and adults. Adults produce, on average, 2.43 juveniles each year. Approximately 25% of juveniles mature each year to become subadults and 10% die (the rest remain as juveniles). Three-quarters of subadults become adults in the next year, and the rest die. Approximately 80% of the adult population survives from one year to the next. a) Use a directed graph to represent the compartment model. b) Use a matrix to represent the compartment model.

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
icon
Related questions
Question

Compartment models

A rodent population can be divided into juveniles, subadults and adults. Adults produce, on average, 2.43 juveniles each year. Approximately 25% of juveniles mature each year to become subadults and 10% die (the rest remain as juveniles). Three-quarters of subadults become adults in the next year, and the rest die.

Approximately 80% of the adult population survives from one year to the next.

a) Use a directed graph to represent the compartment model.

b) Use a matrix to represent the compartment model.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt