439 citations · 3.2k across the 88 of their papers we have counts for
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Demographic noise can lead to the spontaneous formation of species
Tim Rogers, Alan J. McKane, Axel G. Rossberg
When a collection of phenotypically diverse organisms compete with each other for limited resources, with competition being strongest amongst the most similar, the population can e…
WKB calculation of an epidemic outbreak distribution
Andrew J. Black, Alan J. McKane
We calculate both the exponential and pre-factor contributions in a WKB approximation of the master equation for a stochastic SIR model with highly oscillatory dynamics. Fixing the…
Stochastic oscillations in models of epidemics on a network of cities
G. Rozhnova, A. Nunes, A. J. McKane
We carry out an analytic investigation of stochastic oscillations in a susceptible-infected-recovered model of disease spread on a network of cities. In the model a fraction $f…
A unified framework for Schelling's model of segregation
Tim Rogers, Alan J. McKane
Schelling's model of segregation is one of the first and most influential models in the field of social simulation. There are many variations of the model which have been proposed…
Stochastic waves in a Brusselator model with nonlocal interaction
Tommaso Biancalani, Tobias Galla, Alan J. McKane
We show that intrinsic noise can induce spatio-temporal phenomena such as Turing patterns and travelling waves in a Brusselator model with nonlocal interaction terms. In order to p…