5 citations · 7 across the 4 of their papers we have counts for
4 papers
Lorenz and convex ordering of parasite burden distributions with density-dependent deaths
Madison Carlton, Ross McVinish
We establish a convex ordering result for count distributions arising from a parasite acquisition model with density-dependent deaths. If the ratio of two death-rate sequences is n…
A graphical exploration of the relationship between parasite aggregation indices
R. McVinish, R. J. G. Lester
The level of aggregation in parasite populations is frequently incorporated into ecological studies. It is measured in various ways including variance-to-mean ratio, mean crowding,…
Local approximation of a metapopulation's equilibrium
A. D. Barbour, R. McVinish, P. K. Pollett
We consider the approximation of the equilibrium of a metapopulation model, in which a finite number of patches are randomly distributed over a bounded subset of Euclidean spac…
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…