(Joint work with Ross McVinish, The University of Queensland)
Abstract: I will consider a model for the presence/absence of a population in a network of habitat patches. The model accounts for spatial characteristics, and permits an investigation of the effect of habitat degradation on the persistence of the population. A limiting regime is considered in which the initial number of occupied patches increases at the same rate as total number of patches. The ensuing law of large numbers allows us to identify an approximating deterministic model, and a central limit theorem allows us to study the fluctuations about the deterministic trajectory.
Acknowledgement: This work is supported by the ARC
Last modified: 6th July 2015