Yezhang Liang and Chunsheng Shi.  Establishment of Mathematical Model of Random Motion Distribution of Brownian Motion Based on Dynamic Management Decision of Tourists.  Dynamic Systems and Applications 29 (2020) No. 3, 989-1002

https://doi.org/10.46719/dsa202029346

ABSTRACT.
Tourism is developing rapidly, and how to realize the dynamic management of tourists’ flow is a hot topic. The flow of tourists is similar to the random particle Brownian motion, and the mathematical model of random motion distribution of Brownian motion is formed with seasonal factors and holidays. The paper uses Brownian motion to interpret the mathematical model of random motion distribution of Brownian motion based on psychological preference and environmental factors. The flow dynamic fluid of tourists resembles the molecular collision Brownian particle effect, which is simplified into a class of random thermal disturbance dynamic single Brownian particle motion. Track. The management decision-making mode allows visitors to obtain a new tourism manifestation, helping tourists to analyze the psychological dynamics and action trajectories of tourists, thus helping tourists to make travel and decision-making experiences, thus providing more convenient and high-quality travel services.

Keywords: Brownian motion; normal distribution; dynamic management decision; visitor management; random motion