The Trojan Y Chromosome Strategy (TYC) is a promising eradication method for biological control of non-native species. The strategy works by manipulating the sex ratio of a population through the introduction of \textit{supermales} that guarantee male offspring. In the current manuscript, we compare the TYC method with a pure harvesting strategy. We also analyze a hybrid harvesting model that mirrors the TYC strategy. The dynamic analysis leads to results on stability, global boundedness of solutions and bifurcations of the model. Several conclusions about the different strategies are established via optimal control methods. In particular, the results affirm that either a pure harvesting or hybrid strategy may work better than the TYC method at controlling an invasive species population.

中文翻译：

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特洛伊 Y 染色体策略与用于根除非本地物种的收获模型的比较

特洛伊 Y 染色体策略 (TYC) 是一种用于生物控制非本地物种的有前途的根除方法。该策略通过引入保证雄性后代的 \textit{supermales} 来操纵种群的性别比例。在当前的手稿中，我们将 TYC 方法与纯收获策略进行了比较。我们还分析了反映 TYC 策略的混合收获模型。动态分析导致关于稳定性、解的全局有界性和模型的分岔的结果。通过优化控制方法建立了关于不同策略的几个结论。特别是，结果证实，在控制入侵物种种群方面，纯收获或混合策略可能比 TYC 方法更有效。