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A population is modeled with three larva, pupa and adult, and the resulting structured 0 0.6 population model transition matrix is 0.5 0 0.9 0.8. (a) Explain what this matrix says about the three states. (b) Starting with a population of (0, 30, 100), does the population stabilize, increase or decrease over time? If it stabilizes, to what distribution?

A population is modeled with three larva, pupa and adult, and the resulting structured 0 0.6 population model transition matrix is 0.5 0 0.9 0.8. (a) Explain what this matrix says about the three states. (b) Starting with a population of (0, 30, 100), does the population stabilize, increase or decrease over time? If it stabilizes, to what distribution?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 12EQ: 12. Robots have been programmed to traverse the maze shown in Figure 3.28 and at each junction...
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A population is modeled with three larva, pupa and adult, and the resulting structured 0.6 population model transition matrix is 0.5 0.9 0.8 (a) Explain what this matrix says about the three states. (b) Starting with a population of (0, 30, 100), does the population stabilize, increase or decrease over time? If it stabilizes, to what distribution?
Transcribed Image Text:A population is modeled with three larva, pupa and adult, and the resulting structured 0.6 population model transition matrix is 0.5 0.9 0.8 (a) Explain what this matrix says about the three states. (b) Starting with a population of (0, 30, 100), does the population stabilize, increase or decrease over time? If it stabilizes, to what distribution?
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