2. Suppose that W is the population size of Yellowstone wolves and E is the population size elk in Yellowstone. The equations and dE dt = 0.3E-0.4WE dW dt model the interaction between these species. = -0.2W +0.1WE • If the elk population is zero, what does the second equation tell you? • If the wolf population is zero, what does the first equation tell you? • Divide one equation by the other, relating dW and dE.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Suppose that W is the population size of Yellowstone wolves and E is the population size elk
in Yellowstone. The equations
and
dE
dt
= 0.3E-0.4WE
dW
dt
model the interaction between these species.
-0.2W +0.1WE
If the elk population is zero, what does the second equation tell you?
If the wolf population is zero, what does the first equation tell you?
• Divide one equation by the other, relating dW and dE.
Transcribed Image Text:2. Suppose that W is the population size of Yellowstone wolves and E is the population size elk in Yellowstone. The equations and dE dt = 0.3E-0.4WE dW dt model the interaction between these species. -0.2W +0.1WE If the elk population is zero, what does the second equation tell you? If the wolf population is zero, what does the first equation tell you? • Divide one equation by the other, relating dW and dE.
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