matt17

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12 years, 196 days

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These are questions asked by matt17

I have created the following:

a := proc (b, r)
local x, n;
x := [seq(b, x = 0 .. 99)];
for n from 1 to 99 do x[n+1] := r*x[n]*(1-x[n])
end do;
return x
end proc;

> a(.5, 2.5);

 

This returns a list of points in a list representing a population at each generation from x_0 to x_99.  How can I get Maple to plot these points as a time series?

I have been given the logistics map:   xn+1 = rxn(1-xn) where xn is a number between zero and one that represents the size of the population in the nth generation as a ratio of the environment’s maximum capacity.
The parameter r is a positive number related to both the reproduction rate and the rate at which the
population dies due to limited resources.  Create a procedure (taking arguments r and initial population size x

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