Modeling Peoples Movements Based on Differential Equation and Markov Process

Peoples movements have been interested in from the point of understanding, management and decisions for event organizers and the persons concerned, who will do planning their hospitality and every service plans. To perform modeling of the peoples movements, an effective description will be expected for their systematic analysis. In this paper, the delay differential equations and Markov process model of the peoples movements are developed to catch the rough behavior of the people. Then, the peoples convergence, divergence and approaching to the constant values are shown. Further, this paper proposes the estimation method of the Markov order of the movements computed simply using the number of peoples and their correlations. It is shown that the simulation models based on the differential equations and Markov process are useful for understanding peoples movements.