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.
","abstract_html":"<p>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.</p>","abstract_has_math":false,"creators":["Turner, Christopher"],"institution":null,"degree_name":"Master of Science - Mathematical Sciences","degree_level":"Thesis","degree_discipline":"Mathematics and Statistics","degree_department":null,"school":null,"contributors":["Matthew A. Beauregard"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2020,"date_issued":"2020-05-01T07:00:00Z","date_published":"2020-05-01T07:00:00Z","updated_at":"2026-07-24T04:30:30Z","subjects":["Optimal control","Differential Equations","invasive species control","Trojan Y Chromosome","TYC","Control Theory","Ordinary Differential Equations and Applied Dynamics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarworks.sfasu.edu/etds/299","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Matthew A. Beauregard"]},{"key":"dc:creator","label":"Author","values":["Turner, Christopher"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2020-05-08T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics and Statistics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science - Mathematical Sciences"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Optimal control","Differential Equations","invasive species control","Trojan Y Chromosome","TYC","Control Theory","Ordinary Differential Equations and Applied Dynamics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarworks.sfasu.edu/etds/299"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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.
"]},{"key":"dc:title","label":"Title","values":["A Novel Mathematical Model of the Trojan Y-Chromosome Strategy with Optimal Control"]}]}],"canonical_facts":{"dc:contributor":["Matthew A. Beauregard"],"dc:creator":["Turner, Christopher"],"dc:date.available":["2020-05-08T07:00:00Z"],"dc:description.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.
"],"dc:identifier":["https://scholarworks.sfasu.edu/etds/299"],"dc:subject":["Optimal control","Differential Equations","invasive species control","Trojan Y Chromosome","TYC","Control Theory","Ordinary Differential Equations and Applied Dynamics"],"dc:title":["A Novel Mathematical Model of the Trojan Y-Chromosome Strategy with Optimal Control"],"thesis:degree_discipline":["Mathematics and Statistics"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["Master of Science - Mathematical Sciences"]},"updated_at":"2026-07-24T04:30:30Z"}