I found it. But it looks a little…er…dense.
”
Abstract
A penetrating analysis of the wave dynamic modes of a conceptual
population system described by the ‘reaction taxis ‘diffusion’ and
reaction autotaxis ‘cross-diffusion’ polynomial models is carried out for
the case of
increasing degrees of the reaction and taxis (autotaxis) functions. It is
shown that a ‘suitable’ nonlinear taxis can affect the wave front sets and
generate nonmonotone waves, such as trains and pulses which represent the
exact solutions of the model system. Parametric critical points whose
neighborhood displays the full spectrum of possible model wave regimes are
identified and a wave mode systematization in the form of bifurcation
diagrams is given. This enables standard criteria of approach to
‘dangerous boundaries’ to be developed. As possible applications, ‘pulsing
density patches’ in forest insect populations as well as plankton
communities and some other examples are discussed.”
You gotta love these physics guys…
posted at 10:50 on Fri, 20 Aug, 2004 |
path: /school
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