Robert Wilkinson

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 Author Url 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 Author Url 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 Author Url 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 Author Url 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 Author Url Publisher Url Public Url

Ball FG, Wilkinson RR, Sharkey KJ. Erratum: Message passing and moment closure for susceptible-infected-recovered epidemics on finite networks [Phys. Rev. E89, 022808 (2014)] Physical Review E, 92 DOI Publisher Url

preprint

Ali W, Overton CE, Wilkinson RR, Sharkey KJ. 2023. Deterministic epidemic models overestimate the basic reproduction number of observed outbreaks arXiv DOI

Overton CE, Wilkinson RR, Loyinmi A, Miller JC, Sharkey KJ. 2022. Approximating quasi-stationary behaviour in network-based SIS dynamics arXiv DOI

Wilkinson RR, Sharkey KJ. 2017. Impact of the infectious period on epidemics arXiv DOI

Wilkinson RR, Ball FG, Sharkey KJ. 2016. The relationships between message passing, pairwise, Kermack-McKendrick and stochastic SIR epidemic models arXiv DOI

Wilkinson RR, Ball FG, Sharkey KJ. 2016. The deterministic Kermack-McKendrick model bounds the general stochastic epidemic arXiv DOI

Sharkey KJ, Wilkinson RR. 2015. Complete hierarchies of SIR models on arbitrary networks with exact and approximate moment closure arXiv DOI

Wilkinson RR, Sharkey KJ. 2013. Message passing and moment closure for susceptible-infected-recovered epidemics on finite networks arXiv DOI

Kiss IZ, Morris CG, Sélley F, Simon PL, Wilkinson RR. 2013. Exact deterministic representation of Markovian SIR epidemics on networks with and without loops arXiv DOI

Wilkinson RR, Sharkey KJ. 2013. An Exact Relationship Between Invasion Probability and Endemic Prevalence for Markovian SIS Dynamics on Networks arXiv DOI

Sharkey KJ, Kiss IZ, Wilkinson RR, Simon PL. 2012. Exact equations for SIR epidemics on tree graphs arXiv DOI