Firewalls, Disorder, and Percolation in Epidemics
نویسندگان
چکیده
We consider a spatial model related to bond percolation for the spread of a disease that includes variation in the susceptibility to infection. We work on a lattice with random bond strengths and show that with strong disorder, i.e. a wide range of variation of susceptibility, patchiness in the spread of the epidemic is very likely, and the criterion for epidemic outbreak depends strongly on the disorder. These results are qualitatively different from those of standard models in epidemiology, but correspond to real effects.
منابع مشابه
Epidemics, disorder, and percolation
Spatial models for spread of an epidemic may be mapped onto bond percolation. We point out that with disorder in the strength of contacts between individuals patchiness in the spread of the epidemic is very likely, and the criterion for epidemic outbreak depends strongly on the disorder because the critical region of the corresponding percolation model is broadened. In some networks the percola...
متن کامل2 1 Ja n 20 03 Epidemics , disorder , and percolation
Spatial models for spread of an epidemic may be mapped onto bond percolation. We point out that with disorder in the strength of contacts between individuals patchiness in the spread of the epidemic is very likely, and the criterion for epidemic outbreak depends strongly on the disorder because the critical region of the corresponding percolation model is broadened. In some networks the percola...
متن کاملCrossover from weak to strong disorder regime in the duration of epidemics
We study the Susceptible-Infected-Recovered model in complex networks, considering that not all individuals 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 find that the duration time of an epidemic has a crossover with ...
متن کاملPercolation and epidemics in random clustered networks.
The social networks that infectious diseases spread along are typically clustered. Because of the close relation between percolation and epidemic spread, the behavior of percolation in such networks gives insight into infectious disease dynamics. A number of authors have studied percolation or epidemics in clustered networks, but the networks often contain preferential contacts in high degree n...
متن کاملRestraining Epidemics by Improving Immunization Strategies
The way diseases spread through social and global transportation networks is crucially determining their risk for humanity. Based on percolation theory we quantitatively analyze the effect of immunization strategies on the spreading of diseases through networks and propose a novel approach to improve their effectiveness. We find that the network’s vulnerability to epidemics can be significantly...
متن کامل