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13 papers · 1 filter
Imitation, internal absorption and the reversal of local drift in stochastic evolutionary games
Tobias Galla
Evolutionary game dynamics in finite populations is typically subject to noise, inducing effects which are not present in deterministic systems, including fixation and extinction.…
Stochastic amplification in an epidemic model with seasonal forcing
Andrew J Black, Alan J McKane
We study the stochastic susceptible-infected-recovered (SIR) model with time-dependent forcing using analytic techniques which allow us to disentangle the interaction of stochastic…
Independence and interdependence in the nest-site choice by honeybee swarms: agent-based models, analytical approaches and pattern formation
Tobias Galla
In a recent paper List, Elsholtz and Seeley [Phil. Trans. Roy. Soc. B. 364 (2009) 755] have devised an agent-based model of the the nest-choice dynamics in swarms of honeybees, and…
The effects of stochastic population dynamics on food web structure
Craig R. Powell, Richard P. Boland
We develop a stochastic, individual-based model for food web simulation which in the large-population limit reduces to the well-studied Webworld model, which has been used to succe…
Quasi-cycles in a spatial predator-prey model
Carlos A. Lugo, Alan J. McKane
We show that spatial models of simple predator-prey interactions predict that predator and prey numbers oscillate in time and space. These oscillations are not seen in the determin…
Predicting the species abundance distribution using a model food web
Craig R. Powell, Alan J. McKane
A large number of models of the species abundance distribution (SAD) have been proposed, many of which are generically similar to the log-normal distribution, from which they are o…