A Novel Mathematical Model of the Trojan Y-Chromosome Strategy with Optimal Control

Author

Christopher Turner, Stephen F. Austin State UniversityFollow

Date of Award

Spring 5-2020

Degree Type

Thesis

Degree Name

Master of Science - Mathematical Sciences

Department

Mathematics and Statistics

First Advisor

Matthew A. Beauregard

Abstract

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.

Repository Citation

Turner, Christopher, "A Novel Mathematical Model of the Trojan Y-Chromosome Strategy with Optimal Control" (2020). Electronic Theses and Dissertations. 299.
https://scholarworks.sfasu.edu/etds/299

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.