Herd immunity and vaccination: a connection analysis by graph theory

Abstract

Analysis of the connection between herd immunity and vaccination uses a model for spreading infectious diseases with injections vaccines in three forms. The results were analyzed using complete graph to determine the relationship of group immunity to vaccination under the three forms hypothesis of vaccinations against the spread of infectious diseases and drawing a graph from Gephi program. The results showed that herd immunity was directly related to the number of people vaccinated. If the number of people vaccinated is high, herd immunity will occur. But if the number of people vaccinated is low, herd immunity will be difficult.