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In order to make our investigation simpler and more visual, we use
parametric presentations for functions , , and f(N).
- Let
and substituting C by C=A-N, we get (see Fig. 5)
A good approximation for (see Fig. 6) is given by the function:
Then
or
- Let
where is the tolerance interval for vegetation, ,
i.e. the length of this interval. It is obvious that and
.
- For parametrization of f(N) we must remember that . Because
can be described by parabola
, and, respectively,
Using this parametrization we can investigate the evolution of the phase plane
with an increase of the bifurcation parameter A.
Next: The behaviour of as
Up: Climatevegetation, and global
Previous: Stability analysis
Werner von Bloh (Data & Computation)
Thu Jul 13 11:24:58 MEST 2000