Allee effect and control of lake system invasion.

• Author(s) / Creator(s)

  • Potapov, A. B.
  • Lewis, Mark A.

• 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

  2008-01-01

• Subjects / Keywords

  • Aquatic invaders
  • Optimal control
  • Biological invasions
  • Zebra mussels
  • Spatial control

• 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.