IFIMAR   20926
INSTITUTO DE INVESTIGACIONES FISICAS DE MAR DEL PLATA
Unidad Ejecutora - UE
artículos
Título:
Crossover from weak to strong disorder regime in the duration of epidemics
Autor/es:
C. BUONO; C. LAGORIO; P. A. MACRI; L. A. BRAUNSTEIN
Revista:
PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2012 vol. 391 p. 4181 - 4185
ISSN:
0378-4371
Resumen:
considering that not all individuals in the population interact in the same way. Thisheterogeneity between contacts is modeled by a continuous disorder. In our model, thedisorder represents the contact time or the closeness between individuals. We find thatthe duration time of an epidemic has a crossover with the system size, from a power-lawregime to a logarithmic regime depending on the transmissibility related to the strength ofthe disorder. Using percolation theory, we find that the duration of the epidemic scales asthe average length of the branches of the infection. Our theoretical findings, supported bysimulations, explains the crossover between the two regimes.