0.2 0.7 In old-growth forests of Douglas fir, the spotted owl dines mainly on flying squirrels. Suppose the predator-prey matrix for the two populations is A = and assume that any initial vector x, has -p 1.5 an eigenvector decomposition x, = C, V, +... + C, V, such that c, > 0. Show that if the predation parameter p is 0.375, both populations grow. Estimate the long-term growth rate and the eventual ratio of owls to flying squirrels. If p= 0.375, the eigenvalues of A are 1.25,0.45 . Both populations grow because of these eigenvalues is/are greater than 1. one (Use a comma to separate answers as needed.) The long-term growth rate of both populations is about 25 %. Eventually, the two populations will be in the simplified ratio of approximately spotted owl(s) to every thousand flying squirrels. (Type whole numbers.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question

Please help, am struggling. Thank you in advance

0.2 0.7
In old-growth forests of Douglas fir, the spotted owl dines mainly on flying squirrels. Suppose the predator-prey matrix for the two populations is A =
and assume that any initial vector x, has
-p 1.5
an eigenvector decomposition xp = C, V, +... + c, V, such that c, > 0. Show that if the predation parameter p is 0.375, both populations grow. Estimate the long-term growth rate and the eventual ratio of
owls to flying squirrels.
If p = 0.375, the eigenvalues of A are 1.25,0.45 . Both populations grow because
of these eigenvalues is/are greater than 1.
one
(Use a comma to separate answers as needed.)
The long-term growth rate of both populations is about 25 %.
Eventually, the two populations will be in the simplified ratio of approximately spotted owl(s) to every
thousand flying squirrels.
(Type whole numbers.)
Transcribed Image Text:0.2 0.7 In old-growth forests of Douglas fir, the spotted owl dines mainly on flying squirrels. Suppose the predator-prey matrix for the two populations is A = and assume that any initial vector x, has -p 1.5 an eigenvector decomposition xp = C, V, +... + c, V, such that c, > 0. Show that if the predation parameter p is 0.375, both populations grow. Estimate the long-term growth rate and the eventual ratio of owls to flying squirrels. If p = 0.375, the eigenvalues of A are 1.25,0.45 . Both populations grow because of these eigenvalues is/are greater than 1. one (Use a comma to separate answers as needed.) The long-term growth rate of both populations is about 25 %. Eventually, the two populations will be in the simplified ratio of approximately spotted owl(s) to every thousand flying squirrels. (Type whole numbers.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,

Expert Answers to Latest Homework Questions

Q: tableau da 21-2 algo exrcise,compute direct materials variances
Q: answer
Q: This case focuses on data privacy. Information security is essential but usually circumvented. The…
Q: Consider the fast food industry (take the point of view of McDonalds). Give me one example of each…
Q: 20.21 Predict the major product formed by 1,4-addition of HCI to cyclopentadiene. 20.22 Draw…
Q: Please original work In the progression from raw data to actionable knowledge, business analysts…
Q: Can you help me with this, and explain what a product by value analysis is? Thanks in advance
Q: Prelab Information Laboratory Preliminary Discussion Second-order RLC Circuit Analysis The…
Q: 20.17 Predict the structure of the major product formed by 1,2-addition of HBr to…
Q: What is a good response to this post? While Australia and the United States share very similar…
Q: Operations Management Question
Q: NO AI PLEASE WILL REJECT
Q: What is a good response to this post? Nike’s value chain reengineering is a stellar example of how…
Q: At Quick Car Wash, the wash process is advertised to take less than 6 minutes. Consequently,…
Q: Given the sample space: ΩΞ = {a,b,c,d,e,f} and events: {a,b,e,f} A = {a, b, c, d}, B = {c, d, e, f},…
Q: Muscles of the Lower Extremities: Shin and Calf Name Tibialis anterior Gastrocnemius Fibularis…
Q: A I squar frame has sides that measure 2.45m when it is at rest. What is the area of the frame when…
Q: USE MATLAB ONLY   Turbomachienery .   GIven:  vx = 185 m/s, flow angle = 60 degrees, R = 0.5, U =…
Q: As a result of all the excess pressure and fluid entering into the lungs, what happens to the…
Q: If Jeremy who is the VP for the operations, proceeds with their existing prototype (which is option…
Q: Pulmonary edema is fluid and pressure...we discussed that last week.  Where does this fluid and…