Question: Assume that any initial vector x 0 has an eigenvector decomposition such that the coefficient c 1 in equation (1) of this section is positive.

Assume that any initial vector x0 has an eigenvector decomposition such that the coefficient c1 in equation (1) of this section is positive.


Xo = CV +...+ Cn Vn (1)


The tawny owl is a widespread breeding species in Europe that feeds mostly on mice. Suppose the predator-prey matrix for these two populations isimage


Show that if the predation parameter p is .15, both populations grow.Estimate the long-term growth rate and the eventual ratio of owls to mice.

Xo = CV +...+ Cn Vn (1)

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