A non-linear degenerate equation for direct aggregation and traveling wave dynamics

The gregarious behavior of individuals of populations is an important factor in avoiding predators or for reproduction. Here, by using a random biased walk approach, we build a model which, after a transformation, takes the general form [u_{t}=[D(u)u_{x}]_{x}+g(u)] . The model involves a density-dep...

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Bibliografske podrobnosti
Main Authors: Sánchez-Garduño, F, Maini, P, Pérez-Velázquez, J
Format: Journal article
Izdano: American Institute of Mathematical Sciences 2010