366lab9

# 366lab9 - y = y 0.75 0.25 x-10 10 1.9 1.95 2 2.05 2.1 t x =...

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x ' = x (1 - 0.5 y) y ' = y ( - 0.75 + 0.25 x) -10 -8 -6 -4 -2 0 2 4 6 8 10 -10 -8 -6 -4 -2 0 2 4 6 8 10 x y 1. 2.

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-10 -8 -6 -4 -2 0 2 4 6 8 10 -10 -8 -6 -4 -2 0 2 4 6 8 10 x y y ' = (y ( - 0.75 + 0.25 x))/(x (1 - 0.5 y)) 3. Y represents the number of predator. This number depends on the number of prey, which is x. But the value x does not depend on y.
4. 5. a. y1=1.17 y2=3.3

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-2 0 2 4 6 8 10 12 14 16 18 20 -0.5 0 0.5 1 b. x=2 y1= c.
0 1 2 3 4 5 6 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 x ' = x (1 - 0.5 y) y ' = y ( - 0.75 + 0.25 x) -40 -30 -20 -10 0 10 2.8 2.85 2.9 2.95 3 3.05 3.1 3.15 3.2 t 6. 7

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x ' = x (1 - 0.5 y)
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Unformatted text preview: y ' = y ( - 0.75 + 0.25 x)-40-30-20-10 10 1.9 1.95 2 2.05 2.1 t x ' = x (1 - 0.5 y) y ' = y ( - 0.75 + 0.25 x)-15-10-5 5 10 15 20 25 2.6 2.8 3 3.2 3.4 3.6 t x x ' = x (1 - 0.5 y) y ' = y ( - 0.75 + 0.25 x)-15-10-5 5 10 15 20 25 1.7 1.8 1.9 2 2.1 2.2 2.3 t y 8. x ' = x (1 - 0.5 y) - 0.05 x y ' = y ( - 0.75 + 0.25 x) - 0.05 y-2-1 1 2 3 4-4-3-2-1 1 2 x y 9....
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## This note was uploaded on 05/15/2011 for the course MA 366 taught by Professor Cho during the Spring '08 term at Purdue.

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366lab9 - y = y 0.75 0.25 x-10 10 1.9 1.95 2 2.05 2.1 t x =...

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