The dynamics of epidemics in a small world network application: Measles
3rd International Congress on Bacteriology and Infectious Diseases
August 04-06, 2015 Valencia, Spain

OMosbah1, A Dilem1, K Khelloufi1, Y Baara1, O Harrouz1 and N Zekri2

Posters-Accepted Abstracts: J Bacteriol Parasitol

Abstract:

By using the SIR model (Susceptible, infected, recovered), in this work we study numerically the dynamic properties of
a virus spreading in 1D Small World network dynamics. The parameters chosen in this model correspond to a realistic
network in an epidemic situation where neighbors are families while short-circuits correspond to a market or school (friends at
school). The model also includes the latent and infection periods. The exponential increase in the number of infected is found
for different latency and infection. The period of the epidemic also appears to increase exponentially with time lag.