Abstract

A challenging task in the management of Protected Areas is to control thespread of invasive species, either floristic or faunistic, and the preservation of indigenousendangered species, tipically competing for the use of resources in a fragmentedhabitat. In this paper, we present some mathematical tools that have beenrecently applied to contain the worrying diffusion of wolf-wild boars in a SouthernItaly Protected Area belonging to the Natura 2000 network. They aim to solve theproblem according to three different and in some sense complementary approaches:(i) the qualitative one, based on the use of dynamical systems and bifurcation theory;(ii) the Z-control, an error-based neural dynamic approach ; (iii) the optimal control theory. In the case of the wild-boars, the obtained results are illustrated and discussed.To refine the optimal control strategies, a further development is to take intoaccount the spatio-temporal features of the invasive species over large and irregularenvironments. This approach can be successfully applied, with an optimal allocationof resources, to control an invasive alien species infesting the Alta Murgia NationalPark: Ailanthus altissima. This species is one of the most invasive species in Europeand its eradication and control is the object of research projects and biodiversityconservation actions in both protected and urban areas [11]. We lastly present, as afurther example, the effects of the introduction of the brook trout, an alien salmonidfrom North America, in naturally fishless lakes of the Gran Paradiso National Park,study site of an on-going H2020 project (ECOPOTENTIAL).

Autore Pugliese

• Casella Francesca , Marangi Carmela , Diele Fasma

Tutti gli autori

• C. Marangi; F. Casella; F. Diele; D. Lacitignola; A. Martiradonna; A. Provenzale; S. Ragni

Titolo volume/Rivista

Springer INdAM Series

Anno di pubblicazione

2019

ISSN

2281-518X

ISBN

Non Disponibile

Numero di citazioni Wos

Nessuna citazione

Ultimo Aggiornamento Citazioni

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Numero di citazioni Scopus

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Ultimo Aggiornamento Citazioni

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Settori ERC

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Codici ASJC

Non Disponibile