Space-Time Simulation Models for Social Systems

Juan Carlos Mico Ruiz
Department de Matematica Aplicada
Universitat Politecnica de Valencia
Camino de Vera, 14
46071, Valencia Spain
E-mail: jmico@mat.upv.es

Antonio Caselles Mancho
Department de Matematica Aplicada
Universitat de Valencia
c/Doctor Moliner, 50
46100 Burjassot Valencia Spain
E-mail: antonio.caselles@uv.es

Abstract

A new kind of equation valid to simulate a social system with space-time variation is suggested. These equations are a generalization of partial differential equations or their approaches in finite-difference form, or too, a particular case derived from cellular automata models, in order to simulate satisfactorily all present processes in social systems. This model has been used to simulate a middle-sized city of Spain, creating hypotheses about functions of population diffusion inside the city and getting conclusions about the model's utility.

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