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Dr Jonathan A Ward

Applied Mathematics

Contact details

Room: 8.36
Tel: +44 (0)113 3435157
Email: J.A.Ward @


Complex systems
Nonlinear dynamics
Statistical mechanics
Networks and graph theory
Collective human behaviour

Research interests

I'm interested in applications of nonlinear dynamics, network science, graph theory and nonequilibrium statistical mechanics to the study of collective human behaviour and complex systems. I am particularly interested in exploring the interface between mathematics and the social sciences. The increasing popularity of this area is partly due to the explosion of open data sets made available by social media. From the mathematician's perspective, this presents us with opportunities to develop data-driven models and metrics based on scalable algorithms. I actively engage in collaborations with business and industry. Please get in contact if you are interested in finding out more.

Useful links

Personal web page

Current postgraduate students

Andrew Mellor (2013)


Grindrod P, Higham DJ, Laflin P, Otley A, Ward JA Inverse network sampling to explore online European Journal of Applied Mathematics, 27, 958-970, 2016
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Ward JA, Evans AJ, Malleson NS Dynamic calibration of agent-based models using data assimilation Royal Society Open Science, 3, 2016
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Mellor A, Mobilia M, Redner S, Rucklidge AM, Ward JA Influence of Luddism on innovation diffusion Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 92, 2015
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Ward JA, Grindrod P Aperiodic dynamics in a deterministic adaptive network model of attitude formation in social groups Physica D: Nonlinear Phenomena, 282, 27-33, 2014
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Haben S, Ward J, Vukadinovic Greetham D, Singleton C, Grindrod P A new error measure for forecasts of household-level, high resolution electrical energy consumption International Journal of Forecasting, 30, 246-256, 2014

Greetham DV; Ward JA Conversations on Twitter: Structure, pace, balanceCEUR Workshop Proceedings, 73-84 2014
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Gleeson JP, Ward JA, O’Sullivan KP, Lee WT Competition-Induced Criticality in a Model of Meme Popularity Physical Review Letters, 112, 2014

Melnik S, Ward JA, Gleeson JP, Porter MA Multi-stage complex contagions Chaos: An Interdisciplinary Journal of Nonlinear Science, 23, 013124-013124, 2013

Ward JA, Gleeson JP, Melnik S, Porter MA, Mucha PJ Accuracy of mean-field theory for dynamics on real-world networks Physical Review E, 85, 2012
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Ward JA, Fowler AC, O'Brien SBG Acid polishing of lead glass Journal of Mathematics in Industry, 1, 1-18, 2011

Ward JA, Wilson RE Criteria for convective versus absolute string instability in car-following models Proceedings of the Royal Society of London: Mathematical, Physical and Engineering Sciences, 467, 2185-2208, 2011

Fowler AC, Ward JA, O’Brien SBG A simple model for multicomponent etching Journal of Colloid and Interface Science, 354, 421-423, 2011

Wilson RE, Ward JA Car-following models: fifty years of linear stability analysis– a mathematical perspective Transportation Planning and Technology, 34, 3-18, 2011

Ward J, Wilson RE, Berg P Multiscale analysis of a spatially heterogeneous microscopic traffic model Physica D: Nonlinear Phenomena, 236, 1-12, 2007