follows: In Example 1 we used Lotka-Volterra equations to model populations of rabbits and wolves. Let's modify those equations as Find all of the equilibrium solutions. dR dt dW dt = 0.1 R(1 0.0001R) - 0.001 RW = -0.03W + 0.00005 RW

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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follows:
In Example 1 we used Lotka-Volterra equations to model populations of rabbits and wolves. Let's modify those equations as
dR
dt
dW
dt
= 0.1R(1 0.0001R) - 0.001 RW
= -0.03W + 0.00005 RW
Find all of the equilibrium solutions.
Enter your answer as a list of ordered pairs (R, W), where R is 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 wolves, and one with 300
rabbits and 30 wolves, you would enter (100, 10), (200, 20), (300, 30). Do not round fractional answers to the nearest integer.
Answer=
Transcribed Image Text:follows: In Example 1 we used Lotka-Volterra equations to model populations of rabbits and wolves. Let's modify those equations as dR dt dW dt = 0.1R(1 0.0001R) - 0.001 RW = -0.03W + 0.00005 RW Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R, W), where R is 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 wolves, and one with 300 rabbits and 30 wolves, you would enter (100, 10), (200, 20), (300, 30). Do not round fractional answers to the nearest integer. Answer=
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