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Published 2006

Social contact structure affects vaccination effectiveness

Achoo! Ever caught a cold when a supermarket cashier sneezed next to you?

If you are susceptible to a disease, the likelihood of you getting it depends on how many times you come into contact with someone who is infectious, as well as the probability of transmission per contact. Some individuals interact with many others; these highly-connected people can play a big role in spreading disease because:

Schematic diagram of a network

Hypothetical network
showing nodes and edges.
Highly-connected individuals
are depicted with red dots.

Now Matt Ferrari, Ottar Bjørnstad and collaborators have investigated how network structure affects disease spread and vice versa. Having developed some new analytical techniques for tracking the evolution of network structure during epidemics, the researchers modeled the spread of disease on different types of network.

They found that on networks with high heterogeneity in contact structure,  "natural" epidemics can provide greater community-level protection (herd immunity) than random vaccination of individuals. This is because disease spread slows if highly-connected nodes are knocked out of the network: something that happens during epidemics but not necessarily during vaccination campaigns. The more heterogeneous the network contact structure, the greater the control afforded by immunizing highly-connected individuals.

» Their findings are published in Proceedings of the Royal Society B.

Details

Authors: Matthew J. Ferrari, Shweta Bansal, Lauren A. Meyers, Ottar N. Bjørnstad

Title: Network frailty and the geometry of herd immunity

Journal: Proceedings of the Royal Society B

doi: 10.1098/rspb.2006.3636