Invasive Species modelling
Modular Dispersal in GIS (or MDiG)
Modular Dispersal in GIS (or MDiG) is a framework for modelling the spread of a species' population distribution through time. The software is built upon the powerful open-source GIS platform GRASS and provides a simulation manager that can automate analysis across replicates and occupancy maps.
See: http://fruitionnz.com/mdig/
Geographic distribution and relative abundance of invasive species
See case study on assessing the invasiveness of exotic species using ecosystem models and GRASS GIS by Luigi Ponti