Some features of the spread of epidemics and information on a random graph
Author:
Open Access
- 18 February 2010
- journal article
- research article
- Published by National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 107 (10) , 4491-4498
Abstract
Random graphs are useful models of social and technological networks. To date, most of the research in this area has concerned geometric properties of the graphs. Here we focus on processes taking place on the network. In particular we are interested in how their behavior on networks differs from that in homogeneously mixing populations or on regular lattices of the type commonly used in ecological models.Keywords
This publication has 65 references indexed in Scilit:
- Gene expression dynamics in the macrophage exhibit criticalityProceedings of the National Academy of Sciences, 2008
- Spreading of sexually transmitted diseases in heterosexual populationsProceedings of the National Academy of Sciences, 2008
- Distances in random graphs with infinite mean degreesExtremes, 2005
- Conservation laws for the voter model in complex networksEurophysics Letters, 2005
- Connectivity of Growing Random NetworksPhysical Review Letters, 2000
- The Contact Process on a Finite SetThe Annals of Probability, 1988
- Exact solution of Kauffman's model with connectivity oneJournal of Physics A: General Physics, 1988
- Fixation Probabilities and Fixation Times in a Subdivided PopulationEvolution, 1981
- A model for spatial conflictBiometrika, 1973
- Metabolic stability and epigenesis in randomly constructed genetic netsJournal of Theoretical Biology, 1969