53 citations · 167 across the 9 of their papers we have counts for
3 papers · 1 filter
Message passing and moment closure for susceptible-infected-recovered epidemics on finite networks
Robert R. Wilkinson, Kieran J. Sharkey
The message passing approach of Karrer and Newman [Phys. Rev. E 82, 016101 (2010)] is an exact and practicable representation of susceptible-infected-recovered dynamics on finite t…
Exact deterministic representation of Markovian SIR epidemics on networks with and without loops
Istvan Z. Kiss, Charles G. Morris, Fanni Sélley +2
In a previous paper Sharkey et al. [13] proved the exactness of closures at the level of triples for Markovian SIR (susceptible-infected-removed) dynamics on tree-like networks. Th…
An Exact Relationship Between Invasion Probability and Endemic Prevalence for Markovian SIS Dynamics on Networks
Robert R. Wilkinson, Kieran J. Sharkey
Understanding models which represent the invasion of network-based systems by infectious agents can give important insights into many real-world situations, including the preventio…