28 citations · 177 across the 19 of their papers we have counts for
21 papers
Opinion dynamics modelling: distinct attraction and repulsion topologies highlight quantitative effects of trolling
Jake Boyce, Matteo Farina, Jody McKerral +2
We introduce a model of opinion dynamics based on networked non-linear differential equations. The model combines a linear attraction with a repulsive hyperbolic tangent interactio…
Unifying warfighting functions in mathematical modelling: combat, manoeuvre, and C2
Ryan Ahern, Mathew Zuparic, Keeley Hoek +1
The outcomes of warfare have rarely only been characterised by the quantity and quality of individual combatant force elements. The ability to manoeuvre and adapt across force elem…
Modelling host population support for combat adversaries
Mathew Zuparic, Sergiy Shelyag, Maia Angelova +2
We consider a model of adversarial dynamics consisting of three populations, labelled Blue, Green and Red, which evolve under a system of first order nonlinear differential equatio…
Optimising structure in a networked Lanchester Model for Fires and Manoeuvre in Warfare
Alexander Kalloniatis, Keeley Hoek, Mathew Zuparic +1
We present a generalisation of the classical Lanchester model for directed fire between two combat forces but now employing networks for the manoeuvre of Blue and Red forces, and t…
Two network Kuramoto-Sakaguchi model under tempered stable Lévy noise
Alexander Kalloniatis, Timothy McLennan-Smith, Dale Roberts +1
We examine a model of two interacting populations of phase oscillators labelled `Blue' and `Red'. To this we apply tempered stable Lévy noise, a generalisation of Gaussian noise wh…
Noise driven current reversal and stabilisation in the tilted ratchet potential subject to tempered stable Lévy noise
Mathew Zuparic, Alexander Kalloniatis, Dale Roberts
We consider motion of a particle in a one-dimensional tilted ratchet potential subject to two-sided tempered stable Lévy noise characterised by strength , fractional index ,…