Ross McVinish has research interests in applied probability and mathematical modelling in ecology, parasitology and epidemiology. Much of his current research has focussed on conditions under which certain complex models that arise in the study of metapopulations can be approximated by simpler deterministic, Gaussian and point process models. These approximations can be used to improve our understanding of the conditions needed for a metapopulation to persist or recover from a near extinction state. In the past, his research included Bayesian nonparametrics, long range dependence and infinitely divisible distributions.
He is an associate editor for the Australian and New Zealand Journal of Statistics.
The broad aim to develop mathematical models for population dynamics that account for local population behaviour, individual variation, spatial structure, and differing migration patterns, and to calibrate these models to real data.