Um estudo sobre o processo de contato: fundamentos, modelagem e aplicações

Abstract

This work focuses on a study of the Contact Process, a stochastic model used to represent the spread of infections, behaviors, and information in networks. The research stems from the need to understand how systems composed of multiple agents interact randomly over time. The main objective of this work is to investigate the mathematical formulation, dynamics, and applications of the Contact Process through theoretical and computational analysis. The methodology includes a systematic literature review, comparative analysis of different approaches, and the development of computational models. The results highlight the role of variables such as the infection rate, network size, and initial density of infected individuals in the subcritical and supercritical regimes. As a contribution, the study provides an organized synthesis of the model, reinforcing its potential as a tool for modeling complex phenomena and encouraging its application in interdisciplinary contexts.