Question

4. (18k-Home Part 16 polls edil) Suppose that L= ) is a Leslie matrix for a population with two age classes. (a) Explain meanings of all elements in the Leslie matrix clearly. (b) Determine the larger eigenvalue of L and give a biological interpretation of the larger eigenvalue. (c) Find the stable age distribution with a reasonable explanation.

Answer 1

answer

Solution :- Given that Now we have to find Eigen values The characteristic equation is zero IL-211=0 4-2 Ti 0.5-x) = 0 (OS-1) (4-1)-2 =0 &-0.51-4X + x²-8=0 12-4.52=0 14.5+120.25 14.5 £ 4.5 Now 2,34.5 42 = 0 from both eigen values. Two eigen values are Gositive.. Scanned with CamScanner

Now we have to find the eigen vectors corresponding to eigen values [L-21]v=0 [ HU- C] -*[ for s=1 [[-222] v=0 [*][*] -0 . for tal CamScanner

@=c. (0.[]+49 (05 [ormat] Scanned with CamScanner