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Gutierrez, J. B. (J. B. ). (2009). Mathematical Analysis of the Use of Trojan Sex Chromosomes as Means of Eradication of Invasive Species. Retrieved from http://purl.flvc.org/fsu/fd/FSU_migr_etd-3892
This dissertation presents and evaluates a theoretical method of eradication of invasive species through the use of Trojan Y chromosomes. The mathematical analysis of the Trojan Y chromosome eradication strategy is presented for the ODE case and the PDE case in R. It is shown that is possible to cause local extinction of species that have XY sex determination systems as long as they are susceptible to sex reversal. The existence of global attractors is shown for this system, and global attractors are proposed as descriptors of the dynamics of the infinite dimensional system. The case of Poecilia formosa is studied as a natural case of Trojan X chromosomes; it is shown in this case that the combination of stochastic-dependent dissipation and high sensitivity to perturbations can lead to coexistence of P. formosa and P. mexicana. Similarities between the Trojan X chromosomes and Trojan Y chromosomes cases indicate that local extinction could occur in practice for the latter.
A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Bibliography Note
Includes bibliographical references.
Advisory Committee
Monica K. Hurdal, Professor Directing Dissertation; Joseph Travis, Outside Committee Member; Bettye Anne Case, Committee Member; Jack Quine, Committee Member; DeWitt Sumners, Committee Member; Richard Bertram, Committee Member; Nick G. Cogan, Committee Member.
Publisher
Florida State University
Identifier
FSU_migr_etd-3892
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Gutierrez, J. B. (J. B. ). (2009). Mathematical Analysis of the Use of Trojan Sex Chromosomes as Means of Eradication of Invasive Species. Retrieved from http://purl.flvc.org/fsu/fd/FSU_migr_etd-3892
