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...
| Main Authors: | , , |
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| Format: | Journal article |
| Published: |
American Institute of Mathematical Sciences
2010
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