On the propagation of social epidemics in social networks under S.I.R. model

TL;DR

This paper explores the application of the S.I.R. epidemic model to social networks, analyzing how network topology influences the spread of social phenomena like rumors or trends.

Contribution

It extends the classical S.I.R. model to various social network types and evaluates the impact of network topology on social epidemic propagation.

Findings

Network topology significantly affects propagation dynamics.

Certain network structures are more conducive to rapid spread.

Results can inform strategies to control social epidemics.

Abstract

The S.I.R. model (Susceptible, Infected, Recovered or Died) was proposed by chemistry Willam Kermack (1927) and the mathematician G. Mc. Kendrick (1932). the model supposes to divide to the individuals of a population in three categories. Susceptible to be infected, Infected and Recovered (immune or died by the disease). On the other hand has been a similarity in the evolution of epidemics of infect aerial, the computer science propagation of virus and the propagation of social paradigms (fashion, rumor, etc.) it calls modernly ``Social Epidemics''. In this work it is tried to use this model in different types from social networks, real or not. In order to evaluate a meta-analysis of results allows to investigate under wich conditions the topology of the network is excellent and that networks are equivalent. The result obtained can have relevance in study of propagation of epidemics of different types.