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A finite difference approximation for a nonlinear size-structured phytoplankton aggregation model

A finite difference approximation for a nonlinear size-structured phytoplankton aggregation model

We consider a nonlinear model that describes the dynamics of a phytoplankton population with aggregation and competition between individual cells. A finite difference method is developed for approximating the solution of this partial differential equation. The convergence of this approximation to a unique bounded variation solution of the model is …