The Demography model presented in class.  

There are 4 groups (by age).  The Leslie matrix is given by L and
the initial population vector by p0.  After 100 time steps the population
vector is L^100*p0.  What happens to the population if the parameter
do not change with time.

EDUŠ L = [0, 0, 100, 70; 0.67, 0,0,0;0, 0.006, 0, 0;0,0, 0.81,0]

L =
         0         0  100.0000   70.0000
    0.6700         0         0         0
         0    0.0060         0         0
         0         0    0.8100         0

EDUŠ p0 = [2000; 1500; 50; 100]
p0 =
        2000
        1500
          50
         100

EDUŠ L*p0     ******** after one time step

ans =
  1.0e+004 *
    1.2000
    0.1340
    0.0009
    0.0040

EDUŠ L10 =L^10

L10 =
    0.1105    0.0935    9.4423    4.5475
    0.0435    0.1105   10.4427    2.4366
    0.0002    0.0004    0.1105    0.0516
    0.0006    0.0003    0.0526    0.0368


EDUŠ L10*p0     ********** after 10 time steps

ans =
  1.0e+003 *
    1.2882
    1.0186
    0.0117
    0.0079

EDUŠ L^100*p0  ******** after 100 time steps

ans =
    0.0072
    0.0055
    0.0000
    0.0000