Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:Consider the Lotka-Volterra predator-prey model defined by
dx
d't
dt
= -0.1x + 0.02xy
= 0.2у - 0.025xy,
where the populations x(t) (predators) and y(t) (prey) are measured thousands. Suppose x(0) = 6 and y(0) = 6. Use a numerical solver to graph x(t) and y(t).
x, y
x, y
10
ким
10
M
50
100
x, y
10
your
м
1000
t
500
Use the graphs to approximate the time t> 0 when the two populations are first equal.
50
x, y
10-
КИМ
и
500
100
1000
t
t
Transcribed Image Text:Use the graphs to approximate the period of each population.
period of x 10
X
period of y
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