Crossover from weak to strong disorder regime in the duration of epidemics

CAMILA BUONO; C. LAGORIO; P. A. MACRI; L. A. BRAUNSTEIN

La Falda

Congreso; 10º Congreso Regional de Física Estadística y Aplicaciones a la Materia Condensada; 2012; 2012

We study the Susceptible-Infected-Recovered model in complex networks, considering that not allindividuals in the population interact in the same way between them. This heterogeneity between contacts is modeled by a continuous disorder. In our model the disorder represents the contact time or the closeness between individuals. We found that the duration time of an epidemic has acrossover with the system size, from a power law regime to a logarithmic regime depending on thetransmissibility related to the strength of the disorder. Using percolation theory, we found that theduration of the epidemic scales as the average length of the branches of the infection. Our theoreticalndings, supported by simulations, explains the crossover between the two regimes.