Suppose the Leslie matrix is 6a 1/2 a > (). () 1/3 () The only reproductive age class is the third age class. (a) Find the characteristic equation, cigenvalucs, and inherent net reproductive number Ro of L. (b) Show that L is imprimitive. 1 and X (0) = (6, 0, 0)', find X (1), X (2), X (3); then describe the (c) For a = behavior of X (t) as t → ∞. (d) For a = 1 and X (0) = (12, 2. 1)", find X(1), X(2), X(3); then describe the behavior of X(t) as t→ ∞. %3D
Suppose the Leslie matrix is 6a 1/2 a > (). () 1/3 () The only reproductive age class is the third age class. (a) Find the characteristic equation, cigenvalucs, and inherent net reproductive number Ro of L. (b) Show that L is imprimitive. 1 and X (0) = (6, 0, 0)', find X (1), X (2), X (3); then describe the (c) For a = behavior of X (t) as t → ∞. (d) For a = 1 and X (0) = (12, 2. 1)", find X(1), X(2), X(3); then describe the behavior of X(t) as t→ ∞. %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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