Abstract
We consider an optimal control problem for a nonlinear 'nutrient-phytoplankton-zooplankton-fish' reaction- diffusion system, where the parameter for fish predation is treated as a multiplicative control variable. The model has implications for the biomanipulation of food-webs in eutrophic lakes to help improve water quality. We implement a semi-implicit (in time) finite element method with 'mass lumping', and present the results of numerical experiments in two space dimensions.
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