  The Trojan Y Chromosome strategy (TYC) is a genetic biocontrol strategy
designed to alter the sex ratio of a target invasive population by reducing the
number of females over time. Recently an alternative strategy is introduced,
that mimics the TYC strategy by harvesting females whilst stocking males . We
consider the FHMS strategy, with a weak Allee effect, and show that the
extinction boundary need note be hyperbolic. To the best of our knowledge, this
is the first example of a non-hyperbolic extinction boundary in mating models,
structured by sex. Next, we consider the spatially explicit model and show that
the weak Allee effect is both sufficient and necessary for Turing patterns to
occur. We discuss the applicability of our results to large scale biocontrol,
as well as compare and contrast our results to the case with a strong Allee
effect.
