Sunday, 18 August 2013

Difference equations and Matlab (some working)

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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