Difference equations and Matlab (some working)
The difference equations below model the yearly populations of wolves and
moose, measured in hundreds. The wolves kill the moose for food.
http://imgur.com/jV3v06Y
I think I've worked out what x and y are correctly.
$x_n$ is predator and $y_n$ is prey. I say this because the $x_n$ has a
growth term
$+ 0.002 x_{n-1}y_{n-1} $
which says that x_n grows by interaction between $x$ and $y$--- this is
classic predation a.k.a. eating prey.
The y's have what looks like logistic growth
y_(n-1) - 0.001y©÷_(n-1)
which says this species has a population growth that is limited by the
environment.
However, does anyone know what Matlab commands I would enter to answer
this question?
If there are initially 50 wolves and 300 moose, use Matlab to obtain plot
of x and y versus n on the same graph, for 0 ¡Â n ¡Â 10000. Remember that
x and y are measured in hundreds.
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