Assume that the Leslie matrix is L = _ 0.2 3 0.33 0 _ Suppose that, at time t = 0, N0(0)

Chapter 9, Problem 80

(choose chapter or problem)

Assume that the Leslie matrix is L = _ 0.2 3 0.33 0 _ Suppose that, at time t = 0, N0(0) = 10 and N1(0) = 5. Find the population vectors for t = 0, 1, 2, . . . , 10. Compute the successive ratios q0(t) = N0(t) N0(t 1) and q1(t) = N1(t) N1(t 1) for t = 1, 2, . . . , 10. What value do q0(t) and q1(t) approach as t ? (Take a guess.) Compute the fraction of females age 0 for t = 0, 1, . . . , 10. Can you find a stable age distribution?

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