click to view the MPEG movie (cliquez pour voir le film MPEG)

Real numbers do not exist for a computer [Les nombres réels n'existent par pour un ordinateur].




The Verhulst dynamics describes the variation of a population of individuals with the following iteration:
                                       2
                    X  = (R+1)X    - RX
                     n         n-1     n-1
In the upper animation, the five following different valid formulations of the Verhulst dynamics are used:
                    X  = X    + (R(X    - (X   X   )))
                     n    n-1       n-1     n-1 n-1


X = (RX ) + ((1 - (RX ))X ) n n-1 n-1 n-1

X = (((R+1) - (RX ))X ) n n-1 n-1

X = ((R+1)X ) - ((RX )X ) n n-1 n-1 n-1

X = ((R+1)X ) - (R(X X )) n n-1 n-1 n-1
with the same initial value:
                    X  = 0.5
                     0
[more information -in english/en anglais-]


(CMAP28 WWW site: this page was created on 01/22/1996 and last updated on 04/02/2019 08:07:10 -CEST-)



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