Munich Personal RePEc Archive

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

Russu, Paolo (2011): Controlling complex dynamics in a protected-area discrete-time model. Forthcoming in: Discrete Dynamics in Nature and Society.

[img]
Preview
PDF
MPRA_paper_36598.pdf

Download (4MB) | Preview

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.

UB_LMU-Logo
MPRA is a RePEc service hosted by
the Munich University Library in Germany.