Controlling Complex Dynamics in a Protected Area Discrete-Time Model
نویسندگان
چکیده
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 β and the defensive expenditures ρβ specifically directed towards at the protection of the environmental resource. We observed that some values of β can generate a chaotic regime from a stable dynamic of the OAPAmodel. Finally, to eliminate the chaotic regime, we design a controller by OGY method, assuming the user fee as a controller parameter.
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