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Optimal control for management of an invasive plant species.
- Source :
-
Mathematical biosciences and engineering : MBE [Math Biosci Eng] 2007 Jan; Vol. 4 (1), pp. 101-12. - Publication Year :
- 2007
-
Abstract
- Invasive plant populations typically consist of a large (main) focus and several smaller outlier populations. Management of the spread of invasives requires repeated control measures, constrained by limited funding and effort. Posing this as a control problem, we investigate whether it is best to apply control to the main focus, the outlier populations, or some combination of these. We first formulate and solve a discrete-time optimal control problem to determine where control is best applied over a finite time horizon. However, if limited funds are available for control, this optimal solution may not be feasible. In this case, we add an additional constraint to account for the fixed budget and solve the new optimality system. Our results have a variety of practical implications for invasive species management.
Details
- Language :
- English
- ISSN :
- 1547-1063
- Volume :
- 4
- Issue :
- 1
- Database :
- MEDLINE
- Journal :
- Mathematical biosciences and engineering : MBE
- Publication Type :
- Academic Journal
- Accession number :
- 17658918
- Full Text :
- https://doi.org/10.3934/mbe.2007.4.101