Download the full-sized PDF
Permanent link (DOI): https://doi.org/10.7939/R3K06X773
This file is in the following communities:
|Biological Sciences, Department of|
This file is in the following collections:
|Journal Articles (Biological Sciences)|
Allee effect and control of lake system invasion. Open Access
- Author or creator
Potapov, A. B.
Lewis, M. A.
- Additional contributors
- Type of item
- Journal Article (Published)
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
- License information
- © 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.
- Link to related item
- Date Uploaded
- Date Modified
- Audit Status
- Audits have not yet been run on this file.
File format: pdf (Portable Document Format)
Mime type: application/pdf
File size: 452033
Last modified: 2015:10:12 17:52:35-06:00
Original checksum: c5e9d80a00d39249f0ee2ddd8dd60ae1
Well formed: false
Status message: Unexpected error in findFonts java.lang.ClassCastException: edu.harvard.hul.ois.jhove.module.pdf.PdfSimpleObject cannot be cast to edu.harvard.hul.ois.jhove.module.pdf.PdfDictionary offset=3142
Page count: 26