3. (2 pts) A population of deer has a Leslie matrix L with largest positive eigenvalue c = 0.859. If the initial population at time 0 is given by X(0), which of the following are proper ways of computing the number of deer in the various age groups at time n = 43 ? Check all that apply. A. We can always use X(43) = L43X(0) B. We can always use X(43) = 0.85943X(0) C. If X(0) is an eigenvector, then we can use X(43) = 0.85943X(0) D. We can always use X(43) = X(0) 43 E. ☑If X(0) is an eigenvector, then we can use X(43) = X(0)43 tri +115 5. (5 pts) A population follows a logistic DDS given by Formula Pn1+ Pn = 1.31pn-1 -0.00026p-1 a) Determine the growth rate r. er Pu-l vpn-1 r = 1. 1.310 1.31 b) Determine the carrying capacity N. Round to the nearest integer value. N = 26.963 2 Purp 6.000 c) What is the non-trivial equilibrium value and what is its stability? The non-trivial equilibrium = - 0.5 and it is scale.
3. (2 pts) A population of deer has a Leslie matrix L with largest positive eigenvalue c = 0.859. If the initial population at time 0 is given by X(0), which of the following are proper ways of computing the number of deer in the various age groups at time n = 43 ? Check all that apply. A. We can always use X(43) = L43X(0) B. We can always use X(43) = 0.85943X(0) C. If X(0) is an eigenvector, then we can use X(43) = 0.85943X(0) D. We can always use X(43) = X(0) 43 E. ☑If X(0) is an eigenvector, then we can use X(43) = X(0)43 tri +115 5. (5 pts) A population follows a logistic DDS given by Formula Pn1+ Pn = 1.31pn-1 -0.00026p-1 a) Determine the growth rate r. er Pu-l vpn-1 r = 1. 1.310 1.31 b) Determine the carrying capacity N. Round to the nearest integer value. N = 26.963 2 Purp 6.000 c) What is the non-trivial equilibrium value and what is its stability? The non-trivial equilibrium = - 0.5 and it is scale.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
ignore the writing, solve the problem please
Transcribed Image Text:3. (2 pts)
A population of deer has a Leslie matrix L with largest positive eigenvalue
c = 0.859. If the initial population at time 0 is given by X(0), which of the following are
proper ways of computing the number of deer in the various age groups at time n = 43 ?
Check all that apply.
A.
We can always use X(43) = L43X(0)
B.
We can always use X(43) = 0.85943X(0)
C. If X(0) is an eigenvector, then we can use X(43) = 0.85943X(0)
D. We can always use X(43) = X(0) 43
E. ☑If X(0) is an eigenvector, then we can use X(43) = X(0)43
Transcribed Image Text:tri
+115
5. (5 pts)
A population follows a logistic DDS given by
Formula
Pn1+
Pn = 1.31pn-1 -0.00026p-1
a) Determine the growth rate r.
er
Pu-l vpn-1
r = 1.
1.310
1.31
b) Determine the carrying capacity N. Round to the nearest integer value.
N = 26.963
2
Purp
6.000
c) What is the non-trivial equilibrium value and what is its stability?
The non-trivial equilibrium =
-
0.5
and it is
scale.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning