Title :
Biomanipulation of food-webs in eutrophic lakes
Author :
Garvie, Marcus R. ; Trenchea, Catalin
Author_Institution :
Guelph Univ., Guelph
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.
Keywords :
finite element analysis; lakes; optimal control; zoology; eutrophic lakes; finite element method; fish predation; food-webs biomanipulation; mass lumping; multiplicative control variable; nonlinear nutrient-phytoplankton-zooplankton-fish reaction-diffusion system; optimal control problem; water quality; Biomass; Chaos; Control systems; Equations; Feeds; Finite element methods; Lakes; Marine animals; Nonlinear control systems; Optimal control; biomanipulation; chaos; finite element method; optimal control; predator-prey interaction;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4435049
