Author(s)

Yikun Wang

Corresponding Author

Yikun Wang

Abstract

With the rapid expansion of tourism in Juneau, Alaska, environmental degradation, infrastructure pressure and community welfare damage caused by the surge in tourists have become increasingly prominent. To this end, this paper, guided by the theory of sustainable development, proposes and establishes a dynamic system optimization model covering multiple variables such as market demand, resource consumption and policy intervention. The model uses differential equations to simulate the complex interaction between the number of tourists, tourism income, environmental carrying capacity and social benefits, and clearly takes maximizing tourism revenue, minimizing environmental impact and social equity as the optimization goals to achieve dynamic balance under specific constraints. Through empirical data calibration, parameter sensitivity analysis and numerical simulation, the threshold effect of income and tourist scale and the nonlinear growth characteristics of environmental impact are systematically revealed, highlighting the key role of policy regulation in sustainable tourism management. The model is highly adaptable and transferable, and can provide scientific decision-making support and theoretical reference for other destinations facing the dilemma of overtourism. The research results provide a quantitative basis for the tourism management department of Juneau to optimize resource allocation and formulate effective sustainable tourism policies, and enrich the mathematical modelling research method system in the field of tourism sustainability.

Keywords

Lamprey Population, Adaptive Gender Ratio Variation, Ecosystem Dynamics, Interpolation Techniques, Scalability, Adaptability