• DocumentCode
    2832296
  • Title

    Biomanipulation of food-webs in eutrophic lakes

  • Author

    Garvie, Marcus R. ; Trenchea, Catalin

  • Author_Institution
    Guelph Univ., Guelph
  • fYear
    2007
  • fDate
    12-14 Dec. 2007
  • Firstpage
    3460
  • Lastpage
    3465
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2007 46th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    978-1-4244-1497-0
  • Electronic_ISBN
    0191-2216
  • Type

    conf

  • DOI
    10.1109/CDC.2007.4435049
  • Filename
    4435049