Date of Award
Master of Science - Mathematical Sciences
Mathematics and Statistics
Matthew A. Beauregard
Invasive species are a prevalent problem all over the world. Controlling and eradicating an invasive species is an even more diffcult problem. The Trojan Y Chromosome (TYC) eradication strategy is one control method. This method alters the female to male sex ratio by introducing sex reversed males called supermales. These sex reversed males can only produce male progeny. Mathematical models of this strategy have shown that a population can be driven to extinction with a continuous supply of these sex reversed males. There are many different mathematical models of this strategy, but most have serious flaws, such as negative solutions or finite time blow up. In this paper, a new model for the TYC strategy is introduced and an optimal control is established for the introduction rate of the supermales for this new model.
Turner, Christopher, "A Novel Mathematical Model of the Trojan Y-Chromosome Strategy with Optimal Control" (2020). Electronic Theses and Dissertations. 299.
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