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math.PR2014★ 5 cited
Connecting deterministic and stochastic metapopulation models
A. D. Barbour, R. McVinish, P. K. Pollett
In this paper, we study the relationship between certain stochastic and deterministic versions of Hanski's incidence function model and the spatially realistic Levins model. We sho…
math.PR2011
Total variation approximation for quasi-equilibrium distributions, II
A. D. Barbour, P. K. Pollett
Quasi-stationary distributions, as discussed by Darroch & Seneta (1965), have been used in biology to describe the steady state behaviour of population models which, while eventual…
math.PR2010★ 5 cited
Total variation approximation for quasi-equilibrium distributions
A. D. Barbour, P. K. Pollett
Quasi-stationary distributions, as discussed by Darroch & Seneta (1965), have been used in biology to describe the steady state behaviour of population models which, while eventual…