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How could I get the histogram corresponding to probability of finding the predator-prey model in specific integer combinations please?

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I have the following system :
dy0/dt = a*y0 - b*y0*y1
dy1/dt = -c * y1 + e *y0*y1
y0 =12
y1 = 5
a=15
b=2
c=5
e=0.5

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