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Department of Applied Mathematics

Robert Wilkinson

Robert Wilkinson

Telephone: 0151 231 2084

Publications

Highlighted publications

Wilkinson RR, Ball FG, Sharkey KJ. 2017. The relationships between message passing, pairwise, Kermack–McKendrick and stochastic SIR epidemic models Journal of Mathematical Biology, 75 :1563-1590 >DOI >Public Url

Journal article

Wilkinson RR, Sharkey KJ. 2018. Impact of the infectious period on epidemics Physical Review E, 97 >DOI >Link >Public Url

Wilkinson RR, Ball FG, Sharkey KJ. 2017. The relationships between message passing, pairwise, Kermack–McKendrick and stochastic SIR epidemic models Journal of Mathematical Biology, 75 :1563-1590 >DOI >Public Url

Wilkinson RR, Ball FG, Sharkey KJ. 2016. The deterministic Kermack‒McKendrick model bounds the general stochastic epidemic Journal of Applied Probability, 53 :1031-1040 >DOI >Public Url

Sharkey KJ, Wilkinson RR. 2015. Complete hierarchies of SIR models on arbitrary networks with exact and approximate moment closure Mathematical Biosciences, 264 :74-85 >DOI >Public Url

Sharkey KJ, Kiss IZ, Wilkinson RR, Simon PL. 2015. Exact Equations for SIR Epidemics on Tree Graphs Bulletin of Mathematical Biology, 77 :614-645 >DOI >Public Url

Kiss IZ, Morris CG, Sélley F, Simon PL, Wilkinson RR. 2015. Exact deterministic representation of Markovian SIR epidemics on networks with and without loops Journal of Mathematical Biology, 70 :437-464 >DOI >Public Url

Wilkinson RR, Sharkey KJ. 2014. Message passing and moment closure for susceptible-infected-recovered epidemics on finite networks Physical Review E, 89 >DOI >Public Url

Wilkinson RR, Sharkey KJ. 2013. An Exact Relationship Between Invasion Probability and Endemic Prevalence for Markovian SIS Dynamics on Networks PLoS ONE, 8 :e69028-e69028 >DOI >Public Url