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)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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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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