Optimal control for management of an invasive plant species.
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.
Department of Mathematics, University of Tennessee, Knoxville, Tennessee 37996-1300, USA. whittle@math.utk.edu
Andrew J
AJ
Whittle
Suzanne
S
Lenhart
Louis J
LJ
Gross
D000465:Algorithms; D000818:Animals; D004463:Ecology; D004777:Environment; D015233:Models, Statistical; D008962:Models, Theoretical; D063245:Plant Development; D018521:Plant Physiological Phenomena; D011157:Population Dynamics; D049490:Systems Biology; D013598:Systems Theory; D013997:Time Factors