Exact Equations for SIR Epidemics on Tree Graphs
- Submitting institution
-
Liverpool John Moores University
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- 1405
- Type
- D - Journal article
- DOI
-
10.1007/s11538-013-9923-5
- Title of journal
- Bulletin of Mathematical Biology
- Article number
- -
- First page
- 614
- Volume
- 77
- Issue
- 4
- ISSN
- 0092-8240
- Open access status
- Out of scope for open access requirements
- Month of publication
- April
- Year of publication
- 2015
- URL
-
-
- Supplementary information
-
-
- Request cross-referral to
- -
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- Yes
- Number of additional authors
-
3
- Research group(s)
-
-
- Citation count
- 21
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- An Anglo-Hungarian collaboration, this work provided the first proof that a well-known individual level pairwise epidemic model exactly captures the underlying stochastic process when the contact network/graph is a tree. The work developed a novel method to show that the pairwise equations are consistent with the Kolmogorov forward equations of the stochastic process. This has practical significance for modellers who use such simplified representations of complex stochastic epidemics.
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -
