5 papers
Consensus, polarisation and coexistence in a continuous opinion dynamics model with quenched disorder
Joseph William Baron
A general model of opinion dynamics is introduced in which each individual's opinion is measured on a bounded continuous spectrum. Each opinion is influenced heterogeneously by eve…
Persistent individual bias in a voter model with quenched disorder
Joseph W. Baron
Many theoretical studies of the voter model (or variations thereupon) involve order parameters that are population-averaged. While enlightening, such quantities may obscure importa…
Intrinsic noise, Delta-Notch signalling and delayed reactions promote sustained, coherent, synchronised oscillations in the presomitic mesoderm
Joseph W. Baron, Tobias Galla
Using a stochastic individual-based modelling approach, we examine the role that Delta-Notch signalling plays in the regulation of a robust and reliable somite segmentation clock.…
Stochastic fluctuations and quasi-pattern formation in reaction-diffusion systems with anomalous transport
Joseph W. Baron, Tobias Galla
Many approaches to modelling reaction-diffusion systems with anomalous transport rely on deterministic equations and ignore fluctuations arising due to finite particle numbers. Sta…
Effective diffusion coefficients in reaction-diffusion systems with anomalous transport
Joseph W. Baron, Tobias Galla
We show that the Turing patterns in reaction systems with subdiffusion can be replicated in an effective system with Markovian cross-diffusion. The effective system has the same Tu…