In old-growth forests of Douglas fir, the spotted owl dines mainly on flying squirrels. Suppose the predator-prey matri 0.6 0.1 for the two populations is A = and assume that any initial vector x has an eigenvector decomposition -P 1.3 Xo = C₁ V₁ + ... + CnV such that c₁ > 0. Show that if the predation parameter p is 0.325, both populations grow. Estimate the long-term growth rate and the eventual ratio of owls to flying squirrels.

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