In Example 1 we used Lotka-Volterra equations to model populations of rabbits and wolves. Let's modify those equations as follows: dR 0.09R(1 – 0.0001R) s 0.003RW dt dW 0.01W +0.00001RW dt Find all of the equilibrium solutions Enter your answer as a list of ordered pairs (R, W), where Ris the number of rabbits and W the number of wolves. For example, if you found three equilibrium solutions, one with 100 rabbits and 10 wolves, one with 200 rabbits and 20 woves, and one with 300 rabbits and 30 wolves, you would enter (100, 10), (200, 20), (300, 30). Do not round tractional answers to the nearest integer. Answer (0,0).10000.0(2000,306)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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In Example 1 we used Lotka-Volterra equations to model populations of rabbits and wolves. Let's modify those equations as follows:
0.09R(1 – 0.0001R)5 0.003RW
dt
MP
= -0.01W +0.00001RW
dt
Find all of the equilibrium solutions.
Enter your answer as a list of ordered pairs (R, W), where Ris the number of rabbits and W the number of wolves. For example, ir you found three equilibrium
solutions, one with 100 rabbits and 10 wolves, one with 200 rabbits and 20 wolves, and one with 300 rabbits and 30 wolves, you would enter
(100, 10), (200, 20), (300, 30). Do not round tractional answers to the nearest integer.
Answer (0.0)(10000,0)8(2000,36)
Transcribed Image Text:In Example 1 we used Lotka-Volterra equations to model populations of rabbits and wolves. Let's modify those equations as follows: 0.09R(1 – 0.0001R)5 0.003RW dt MP = -0.01W +0.00001RW dt Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R, W), where Ris the number of rabbits and W the number of wolves. For example, ir you found three equilibrium solutions, one with 100 rabbits and 10 wolves, one with 200 rabbits and 20 wolves, and one with 300 rabbits and 30 wolves, you would enter (100, 10), (200, 20), (300, 30). Do not round tractional answers to the nearest integer. Answer (0.0)(10000,0)8(2000,36)
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