Robert Wilkinson
School of Computer Science and Mathematics
Faculty of Engineering and Technology
Email: R.R.Wilkinson@ljmu.ac.uk
Telephone: 0151 231 2084
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 Author Url Publisher Url Public Url
Journal article
Ali W, Overton CE, Wilkinson RR, Sharkey KJ. 2024. Deterministic epidemic models overestimate the basic reproduction number of observed outbreaks Infectious Disease Modelling, 9 :680-688 DOI Author Url Publisher Url Public Url
Mitchinson AJ, Pogson M, Czanner G, Conway D, Wilkinson RR, Murphy MF, Siekmann I, Webb SD. 2024. A stochastic model for topographically influenced cell migration Journal of Theoretical Biology, 581 DOI Author Url Publisher Url Public Url
Overton CE, Wilkinson RR, Loyinmi A, Miller JC, Sharkey KJ. 2021. Approximating Quasi-Stationary Behaviour in Network-Based SIS Dynamics Bulletin of Mathematical Biology, 84 DOI Author Url Publisher Url Public Url
Wilkinson RR, Sharkey KJ. 2018. Impact of the infectious period on epidemics Physical Review E, 97 DOI Author Url Publisher Url 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 Author Url Publisher Url 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 Publisher Url 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 Publisher Url 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 Publisher Url 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 Publisher Url 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 Publisher Url 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 Publisher Url Public Url