The rabbit population shows fast growth (from 6r) but loss to wolves (from -2w). The

Chapter 6, Problem 8

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The rabbit population shows fast growth (from 6r) but loss to wolves (from -2w). The wolf population always grows in this model (_w2 would control wolves): dr - = 6r -2w dt and dw -=2r+w. dt Find the eigenvalues and eigenvectors. If reO) = w(O) = 30 what are the populations at time t? After a long time, what is the ratio of rabbits to wolves?

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