Ym. Svirezhev et W. Vonbloh, A MINIMAL MODEL OF INTERACTION BETWEEN CLIMATE AND VEGETATION - QUALITATIVE APPROACH, Ecological modelling, 92(1), 1996, pp. 89-99
A so-called ''minimal model'' is presented for the qualitative descrip
tion of the interaction between climate and vegetation. Such conceptua
l simple models are important to give a better understanding of the fu
ndamental feedback mechanisms acting between geo- and biosphere. This
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 perturbations is quite inter
esting: depending on the spatial form of the perturbations propagating
non-linear waves are observed.