439 citations · 3.2k across the 88 of their papers we have counts for
88 papers
Stochastic quasi-cycles as a simple explanation for the time evolution of the Cape Rodney-Okakari Point Marine ecological reserve
César Parra-Rojas, Duccio Fanelli, Alan J. McKane
The dataset collected at the Cape Rodney-Okakari Point Marine (CR-OPM) reserve on the North Island of New Zealand is rather unique. It describes the cyclic time evolution of a rock…
Perturbation expansions at large order: Results for scalar field theories revisited
Alan J McKane
The question of the asymptotic form of the perturbation expansion in scalar field theories is reconsidered. Renewed interest in the computation of terms in the epsilon-expansion, u…
Exploiting fast-variables to understand population dynamics and evolution
George W. A. Constable, Alan J. McKane
We describe a continuous-time modelling framework for biological population dynamics that accounts for demographic noise. In the spirit of the methodology used by statistical physi…
Reduction of a metapopulation genetic model to an effective one island model
César Parra-Rojas, Alan J. McKane
We explore a model of metapopulation genetics which is based on a more ecologically motivated approach than is frequently used in population genetics. The size of the population is…
A mapping of the stochastic Lotka-Volterra model to models of population genetics and game theory
George W. A. Constable, Alan J. McKane
The relationship between the M-species stochastic Lotka-Volterra competition (SLVC) model and the M-allele Moran model of population genetics is explored via timescale separation a…
Stochastic epidemic dynamics on extremely heterogeneous networks
César Parra-Rojas, Thomas House, Alan J. McKane
Networks of contacts capable of spreading infectious diseases are often observed to be highly heterogeneous, with the majority of individuals having fewer contacts than the mean, a…