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Exact equations for SIR epidemics on tree graphs
journal contribution
posted on 2023-06-21, 06:01 authored by K J Sharkey, Istvan Kiss, R R Wilkinson, P L SimonWe 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.
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Publication status
- Published
File Version
- Published version
Journal
Bulletin of Mathematical BiologyISSN
0092-8240Publisher
Springer VerlagExternal DOI
Issue
4Volume
77Page range
614-645Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2016-09-01First Open Access (FOA) Date
2016-09-01First Compliant Deposit (FCD) Date
2016-09-01Usage metrics
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