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Optimal control of invasive species through a dynamical systems approach.
- Source :
-
Nonlinear Analysis: Real World Applications . Oct2019, Vol. 49, p45-70. 26p. - Publication Year :
- 2019
-
Abstract
- Effectively dealing with invasive species is a pervasive problem in environmental management. The damages that stem from invasive species are well known. However, controlling them cost-effectively is an ongoing challenge, and mathematical modeling and optimization are becoming increasingly popular as a tool to assist management. In this paper we investigate problems where optimal control theory has been implemented. We show that transforming these problems from state–costate systems to state-control systems provides the complete qualitative description of the optimal solution and leads to its theoretical expression for free terminal time problems. We apply these techniques to two case studies: one of feral cats in Australia, where we use logistic growth; and the other of wild-boars in Italy, where we include an Allee effect. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14681218
- Volume :
- 49
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis: Real World Applications
- Publication Type :
- Academic Journal
- Accession number :
- 136349777
- Full Text :
- https://doi.org/10.1016/j.nonrwa.2019.02.007