Abstract

Effectively dealing with invasive species is a pervasive problem in environmental management. The damages, andassociated costs, that stem from invasive species are well known, as is the benefit from their removal. We investigateproblems where optimal control theory has been implemented, and we show that these problems can easily becomehypersensitive, making their numerical solutions unstable. We show that transforming these problems from state-adjointsystems to state-control systems can provide useful insights into the system dynamics and simplify the numerics. Weapply these techniques to two case studies: one of feral cats in Australia, where we use logistic growth; and the other ofwild-boars in Italy, where we include an Allee effect. A further development is to optimize the control strategy by takinginto account the spatio-temporal features of the invasive species control problems over large and irregular environments.The approach is used in a management scenario where the invasive species to be controlled with an optimal allocationof resources is the deciduous tree Ailanthus Altissima, infesting the Alta Murgia National Park in the south of Italy.This work has been carried out within the H2020 project ECOPOTENTIAL (http://www.ecopotential-project.eu),coordinated by CNR-IGG. The project has received funding from the European Union's Horizon 2020 research andinnovation programme (grant agreement No 641762).

Autore Pugliese

• Casella Francesca , Marangi Carmela , Diele Fasma

Tutti gli autori

• A. Martiradonna; C.M. Baker; F. Casella; F. Diele; D. Lacitignola; C. Marangi

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Anno di pubblicazione

2017

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