Controlling complex dynamics in a protected-area discrete-time model

Paolo Russu ()

MPRA Paper from University Library of Munich, Germany

Abstract: This paper investigates how the introduction of user fees and defensive expenditures change the complex dynamics of a discrete-time model, which represents the interaction between visitors and environmental quality in a Open-Access Protected-Area (OAPA). To investigate this issue more deeply, we begin by studying in great detail the OAPA model and then we introduce the user fee () and the defensive expenditures () specifically directed towards at the protection of the environmental resource. We observed that some values of can generate a chaotic regime from a stable dynamic of the OAPA model. Finally, to eliminate the chaotic regime, we design a controller by OGY method, assuming the user fee as a controller parameter.

Keywords: sustainable tourism; controlling chaos (search for similar items in EconPapers)
JEL-codes: L83 Q01 (search for similar items in EconPapers)
Date: 2011
New Economics Papers: this item is included in nep-env and nep-tur
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:36598

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