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Permanent link (DOI): https://doi.org/10.7939/R3K06X773

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Allee effect and control of lake system invasion. Open Access

Descriptions

Author or creator
Potapov, A. B.
Lewis, M. A.
Additional contributors
Subject/Keyword
zebra mussels
optimal control
biological invasions
spatial control
aquatic invaders
Type of item
Journal Article (Published)
Language
English
Place
Time
Description
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
DOI
doi:10.7939/R3K06X773
License information
Rights
© 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.
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.
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