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R. F. Stengel, “Optimal Control and Estimation,” 2nd Edition, Dover Publication Inc., New York, 1994.

has been cited by the following article:

• TITLE: Optimal Policies for Managing Invasive Species under Uncertainty

  AUTHORS: C. S. Kim, Marcel Aillery, Jan Lewandrowski, SeungGyu Kim

  KEYWORDS: Invasive Species; Preventive Measures; Control Measures; Induced Technology; Hazard Function; Opti-mal Control Model

  JOURNAL NAME: Applied Mathematics, Vol.3 No.10A, November 1, 2012

  ABSTRACT: We present an optimal control model of three stages of resources allocation for managing invasive species. Three types of temporal uncertainty are considered, involving the timing of discovery of an invasive pest, the timing of an induced technology development after the establishment and dispersion of an invasive species, and the timing of farmer adoption of induced technology as the costs of controlling the invasive species increase. Using a bioeconomic optimal control model of managing invasive species, where models in previous studies are subset within our model, we show that when sub-structured models not including all three stages are used for managing invasive species, resource allocation for adopting preventive measures before the initial discovery of an invasive pest would be supra-optimalwhile resource allocation for adopting conventional control measures after establishment and dispersion would be sub-optimal.