Epidemic spreading on preferred degree adaptive networks

Details Epidemic spreading on preferred degree adaptive networks Epidemic spreading on preferred degree adaptive networks

2011-09-26

arxiv.org/abs/1109.5440v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 5 figures

Scientific paper

We study the standard SIS model of epidemic spreading on networks where individuals have a fluctuating number of connections around a preferred degree $\kappa $. Using very simple rules for forming such preferred degree networks, we find some unusual statistical properties not found in familiar Erd\H{o}s-R\'enyi or scale free networks. Preferred degree networks with adaptive $\kappa $ provide a natural platform to study adaptive contact processes. By letting $\kappa $ depend on the fraction of infected individuals, we model the behavioral changes in response to how the extent of the epidemic is perceived. Specifically, we explore how various simple feedback mechanisms affect transitions between active and absorbing states. For the static case, we find that the infection threshold follows the heterogeneous mean field result $\lambda_{c}=/$ and the phase diagram matches the predictions of the annealed adjacency matrix (AAM) approach. For the adaptive SIS case we find, surprisingly, that even when the average degree shifts, the epidemic threshold does not change. However, the infection level is substantially altered in the active state. A simple mean field analysis is shown to capture the qualitative and some of the quantitative features of the infection phase diagram.

Affiliated with

Also associated with

No associations

Rating

Epidemic spreading on preferred degree adaptive networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Epidemic spreading on preferred degree adaptive networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Epidemic spreading on preferred degree adaptive networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-685752