Controlling Complex Dynamics in a Protected Area Discrete-Time Model

Paolo Russu

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-13

Abstract:

This paper investigates how the introduction of user fees and defensive expenditures changes the complex dynamics of a discrete-time model, which represents the interaction between visitors and environmental quality in an 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 ( 𠛽 ) and the defensive expenditures ( 𠜌 𠛽 ) specifically directed towards at the protection of the environmental resource. We observed that some values of 𠛽 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:432319

DOI: 10.1155/2012/432319

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