21 citations · 21 across the 3 of their papers we have counts for
7 papers
Edge-based mean-field approximation of dynamics on networks via approximate lumping of Markov chains
Gábor Timár, Jonathan A. Ward, Péter L. Simon
Mean-field approximations for dynamical processes on networks are widely used, but existing derivations often rely either on moment closures or on idealised assumptions about netwo…
Mean-Field Approximation of Dynamics on Networks
Jonathan A. Ward, Gábor Timár, Péter L. Simon
Many real-world phenomena can be modelled as dynamical processes on networks, a prominent example being the spread of infectious diseases such as COVID-19. Mean-field approximation…
Influence of Luddism on innovation diffusion
Andrew Mellor, Mauro Mobilia, Sidney Redner +2
We generalize the classical Bass model of innovation diffusion to include a new class of agents --- Luddites --- that oppose the spread of innovation. Our model also incorporates i…
Competition-induced criticality in a model of meme popularity
James P. Gleeson, Jonathan A. Ward, Kevin P. O'Sullivan +1
Heavy-tailed distributions of meme popularity occur naturally in a model of meme diffusion on social networks. Competition between multiple memes for the limited resource of user a…
Aperiodic dynamics in a deterministic model of attitude formation in social groups
Jonathan Ward, Peter Grindrod
Homophily and social influence are the fundamental mechanisms that drive the evolution of attitudes, beliefs and behaviour within social groups. Homophily relates the similarity be…
Multi-Stage Complex Contagions
Sergey Melnik, Jonathan A. Ward, James P. Gleeson +1
The spread of ideas across a social network can be studied using complex contagion models, in which agents are activated by contact with multiple activated neighbors. The investiga…