Document Type
Article
Publication Date
8-10-2019
Abstract
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 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 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 a non-native species population.
Repository Citation
Lyu, Jingjing; Schofield, Pamela J.; Reaver, Kristen M.; Beauregard, Matthew; and Parshad, Rana D., "A Comparison of the Trojan Y Chromosome Strategy to Harvesting Models for Eradication of Non-Native Species" (2019). Faculty Publications. 11.
https://scholarworks.sfasu.edu/mathandstats_facultypubs/11
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Applied Mathematics Commons, Biology Commons, Mathematics Commons
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Comments
arXiv:1810.08279v2 [math.OC] 10 Aug 2019