A nonlocal model of phytoplankton aggregation
نویسندگان
چکیده
منابع مشابه
A nonlocal continuum model for biological aggregation.
We construct a continuum model for biological aggregations in which individuals experience long-range social attraction and short-range dispersal. For the case of one spatial dimension, we study the steady states analytically and numerically. There exist strongly nonlinear states with compact support and steep edges that correspond to localized biological aggregations, or clumps. These steady-s...
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We consider a nonlocal aggregation equation with nonlinear diffusion which arises from the study of biological aggregation dynamics. As a degenerate parabolic problem, we prove the well-posedness, continuation criteria and smoothness of local solutions. For compactly supported nonnegative smooth initial data we prove that the gradient of the solution develops L∞ x -norm blowup in finite time.
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Real World Applications
سال: 2005
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2004.12.007