O modelo suscetível infectado removido em redes de Solomon

Abstract

This paper examines the behavior of the SIR model (Susceptible-Infected-Removed) on Solomon lattices, contextualizing within the historical context that throughout human his tory, among the many diseases that have spread across centuries, certain illnesses labeled as ”plagues”have exhibited epidemic characteristics, manifesting through rapid contagion, affecting significant populations within territories, and eventually subsiding after a period of time. Within this context, the scientific community has contributed to understanding and proposing solutions to combat epidemics through epidemiological models, these mo dels help elucidate how diseases spread within a community across a given territory. The models are described using differential equations, which represent interactions between individuals in the dynamics through network vertices and their connections, structured within a geometric framework. These connections can represent diverse interaction types, whether workplace relationships, friendships, family contexts, or others. Therefore, in this work, we study the SIR model coupled to Solomon networks. Our results were obtained using the Monte Carlo method and finite-size scaling functions.