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Allee effect and control of lake system invasion.

  • Author(s) / Creator(s)
  • We consider the model of invasion prevention in a system of lakes that are connected via traffic of recreational boats. It is shown that, in presence of an Allee effect, the general optimal control problem can be reduced to a significantly simpler stationary optimization problem of optimal invasion stopping. We consider possible values of model parameters for zebra mussels. The general N-lake control problem has to be solved numerically, and we show a number of typical features of solutions: distribution of control efforts in space and optimal stopping configurations related with the clusters in lake connection structure.

  • Date created
    2008
  • Subjects / Keywords
  • Type of Item
    Article (Published)
  • DOI
    https://doi.org/10.7939/R3K06X773
  • License
    © 2008 Springer. This version of this article is open access and can be downloaded and shared. The original author(s) and source must be cited.
  • Language
  • Citation for previous publication
    • Potapov, A. B., & Lewis, M. A. (2008). Allee effect and control of lake system invasion. Bulletin of Mathematical Biology, 70(5), 1371-1397.