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Numerical treatment of a nonlocal model for phytoplankton aggregation. (English) Zbl 1246.65148
Summary: We are interested in the numerical treatment of a nonlinear model describing phytoplankton aggregation. The model consists in an integro-differential diffusion equation, with a chemotaxis term responsible for self-attraction of phytoplankton cells. We develop and implement a numerical scheme to solve this nonlinear PDE and present numerical solutions for parameters values corresponding to real conditions in nature. The numerical results emphasize the role of the nonlinear chemotaxis term in producing aggregating patterns and further, they are used to explore the asymptotic behavior of the model.
65M06Finite difference methods (IVP of PDE)
92-08Computational methods (appl. to natural sciences)
35Q92PDEs in connection with biology and other natural sciences
92D25Population dynamics (general)
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