6 papers
Mean-field imitation dynamics on fast assortative networks
Benedict Russell, Andrew Nugent, Jacques Bara
The emergence of cooperation in structured populations is fundamental to the success of human societies. Physical and online networks can drive behavioural change by altering who p…
Construction and simulation of a path-valued model of dendrite development
Andrew Nugent, Karen M. Page, Alexey Zaikin +1
Neurons receive information through their dendrites. During development, when synaptic connections are forming, dendrites grow, retract, and branch. The resulting dendritic tree sh…
Emergent structures in coupled opinion and network dynamics
Andrew Nugent, Carmen Calatayud Fernandez, Susana N. Gomes
This paper investigates a model of opinion formation on an adaptive social network, consisting of a system of coupled ordinary differential equations for individuals' opinions and…
Speaking of Opinions: Comparing Approaches to Modelling Opinion Manipulation
Luisa Estrada, Sasha Glendinning, Andrew Nugent
This review outlines the major approaches to modelling opinion formation and manipulation in mathematics and computer science. Key tools such as ordinary and partial differential e…
Modeling Social Systems: Transparency, Reproducibility, and Responsibility
Maximino Aldana, Roni Barak Ventura, Heather Z. Brooks +13
Mathematical models of complex social systems can enrich social scientific theory, inform interventions, and shape policy. From voting behavior to economic inequality and urban dev…
Opinion Dynamics with Continuous Age Structure
Andrew Nugent, Susana N. Gomes, Marie-Therese Wolfram
We extend a classical model of continuous opinion formation to explicitly include an age-structured population. We begin by considering a stochastic differential equation model whi…