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Incorporating Disease and Population Structure into Models of SIR Disease in Contact Networks
- Source :
- PLoS ONE, PLoS ONE, Vol 8, Iss 8, p e69162 (2013)
- Publication Year :
- 2013
- Publisher :
- Public Library of Science, 2013.
-
Abstract
- We consider the recently introduced edge-based compartmental models (EBCM) for the spread of susceptible-infected-recovered (SIR) diseases in networks. These models differ from standard infectious disease models by focusing on the status of a random partner in the population, rather than a random individual. This change in focus leads to simple analytic models for the spread of SIR diseases in random networks with heterogeneous degree. In this paper we extend this approach to handle deviations of the disease or population from the simplistic assumptions of earlier work. We allow the population to have structure due to effects such as demographic features or multiple types of risk behavior. We allow the disease to have more complicated natural history. Although we introduce these modifications in the static network context, it is straightforward to incorporate them into dynamic network models. We also consider serosorting, which requires using dynamic network models. The basic methods we use to derive these generalizations are widely applicable, and so it is straightforward to introduce many other generalizations not considered here. Our goal is twofold: to provide a number of examples generalizing the EBCM method for various different population or disease structures and to provide insight into how to derive such a model under new sets of assumptions.
- Subjects :
- Adult
Theoretical computer science
Dynamic network analysis
Epidemiology
Population structure
Population
Population Dynamics
lcsh:Medicine
Systems Theory
Disease
Biology
Social and Behavioral Sciences
Social Environment
01 natural sciences
Communicable Diseases
Models, Biological
Infectious Disease Epidemiology
010305 fluids & plasmas
Disease Outbreaks
Risk-Taking
Systems theory
Sociology
0103 physical sciences
Disease Transmission, Infectious
Humans
Disease Dynamics
lcsh:Science
010306 general physics
education
Child
Risk management
Epidemiological Methods
education.field_of_study
Multidisciplinary
Population Biology
business.industry
Applied Mathematics
lcsh:R
Complex Systems
Social Epidemiology
Social Networks
Medicine
lcsh:Q
Risk taking
business
Mathematics
Network analysis
Research Article
Subjects
Details
- Language :
- English
- ISSN :
- 19326203
- Volume :
- 8
- Issue :
- 8
- Database :
- OpenAIRE
- Journal :
- PLoS ONE
- Accession number :
- edsair.doi.dedup.....46034a44a71ca695d6e1d7e62f28ab96