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Sharkey, KJ, Kiss, IZ, Wilkinson, RR and Simon, PL (2013) Exact Equations for SIR Epidemics on Tree Graphs. Bulletin of Mathematical Biology, 77 (4). pp. 614-645. ISSN 0092-8240
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Exact Equations for SIR Epidemics on Tree Graphs.pdf - Published Version Available under License Creative Commons Attribution. Download (1MB) | Preview |
Abstract
We consider Markovian susceptible-infectious-removed (SIR) dynamics on time-invariant weighted contact networks where the infection and removal processes are Poisson and where network links may be directed or undirected. We prove that a particular pair-based moment closure representation generates the expected infectious time series for networks with no cycles in the underlying graph. Moreover, this “deterministic” representation of the expected behaviour of a complex heterogeneous and finite Markovian system is straightforward to evaluate numerically.
| Item Type: | Article |
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| Uncontrolled Keywords: | 01 Mathematical Sciences, 06 Biological Sciences |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Applied Mathematics (merged with Comp Sci 10 Aug 20) |
| Publisher: | Springer Nature |
| Date Deposited: | 03 Jul 2019 10:25 |
| Last Modified: | 04 Sep 2021 09:13 |
| DOI or ID number: | 10.1007/s11538-013-9923-5 |
| URI: | https://researchonline.ljmu.ac.uk/id/eprint/10968 |
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