Y. M. Svirezhev and W. von Bloh
Ecological Modelling 92, 89-99 (1996)
Potsdam Institute for Climate Impact Research (PIK),
Telegrafenberg, P.O. Box 60 12 03, D-14412 Potsdam, Germany.
A so-called "minimal model" is presented for the qualitative description of
the interaction between climate and vegetation. Such conceptual models are
important to give a better understanding of the fundamental feedback mechanisms
acting between geo- and biosphere. The spatially one-dimensional model is
analyzed in respect to the uniform biosphere and the existence of possible
diffusive instabilities. It is proved that there do not exist any non-uniform
equilibrium solutions, but the evolution of non-uniform initial pertubations
is quite interesting: depenbing on the spatial form of the perturbations propagating non-linear waves are observed.
Keywords: Climate, vegetation, minimal models, nonlinear waves, stability
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