Modelling the integration of a transgene by stocking.

Simple models for the integration of a selectively neutral transgene into a feral population, by stocking of transgenic individuals, are developed. The impact of stocking individuals having multiple unlinked homozygous locations of the transgene is quantified. Initially it is assumed that there is no overlap between successive generations but a more general model for species having discrete overlapping generations is also developed. The primary application for this work is biological control. It is found that the integration of a transgene is considerably quickened by stocked transgenics carrying the transgene at multiple sites.