Exact Solutions of Epidemic Models on Networks
AbstractThe study of social networks, and in particular the spread of disease on networks, has attracted considerable recent attention in the physical and mathematical literature. In this paper, we show that a large class of standard epidemiological models, the so-called susceptible/infective/recovered models, and many of their generalizations, can be solved exactly on a wide variety of networks. Solutions are possible for cases with heterogeneous or correlated probabilities of transmission, cases in which a portion of the individuals in the network are vaccinated against the disease, either uniformly at random or in some correlated fashion, and cases in which the network has complex structure of various kinds, such as separation of the population in groups according to personal, geographic, or social characteristics. We confirm the correctness of our exact solutions by comparison with computer simulations of epidemics propagating on the corresponding networks.
Download InfoTo our knowledge, this item is not available for download. To find whether it is available, there are three options:
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.
Bibliographic InfoPaper provided by Santa Fe Institute in its series Working Papers with number 01-12-073.
Date of creation: Dec 2001
Date of revision:
Contact details of provider:
Postal: 1399 Hyde Park Road, Santa Fe, New Mexico 87501
Web page: http://www.santafe.edu/sfi/publications/working-papers.html
More information through EDIRC
Epidemics; epidemiology; disease; social networks;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2002-03-14 (All new papers)
- NEP-ENT-2002-03-14 (Entrepreneurship)
- NEP-HEA-2002-03-14 (Health Economics)
- NEP-NET-2002-03-14 (Network Economics)
You can help add them by filling out this form.
reading list or among the top items on IDEAS.Access and download statisticsgeneral information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Thomas Krichel).
If references are entirely missing, you can add them using this form.