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The Trojan Y Chromosome strategy (TYC) is a genetic biocontrol strategydesigned to alter the sex ratio of a target invasive population by reducing thenumber of females over time. Recently an alternative strategy is introduced,that mimics the TYC strategy by harvesting females whilst stocking males . Weconsider the FHMS strategy, with a weak Allee effect, and show that theextinction boundary need note be hyperbolic. To the best of our knowledge, thisis the first example of a non-hyperbolic extinction boundary in mating models,structured by sex. Next, we consider the spatially explicit model and show thatthe weak Allee effect is both sufficient and necessary for Turing patterns tooccur. 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 Alleeeffect.

Mimicking the TYC strategy: Weak Allee effects, and a nonhyperbolic extinction boundary