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dc.contributor.authorWang, Xueying
dc.contributor.authorWalton, Jay R.
dc.contributor.authorParshad, Rana
dc.contributor.authorStorey, Katie
dc.contributor.authorBoggess, May M.
dc.date.accessioned2015-08-03T11:05:08Z
dc.date.available2015-08-03T11:05:08Z
dc.date.issued2013-05-24
dc.identifier.citationWang, X., Walton, J. R., Parshad, R. D., Storey, K., & Boggess, M. (2013). Analysis of the Trojan Y-Chromosome eradication strategy for an invasive species. Journal of Mathematical Biology, 68(7), 1731–1756. doi:10.1007/s00285-013-0687-1
dc.identifier.issn03036812
dc.identifier.doi10.1007/s00285-013-0687-1
dc.identifier.urihttp://hdl.handle.net/10754/562771
dc.description.abstractThe Trojan Y-Chromosome (TYC) strategy, an autocidal genetic biocontrol method, has been proposed to eliminate invasive alien species. In this work, we analyze the dynamical system model of the TYC strategy, with the aim of studying the viability of the TYC eradication and control strategy of an invasive species. In particular, because the constant introduction of sex-reversed trojan females for all time is not possible in practice, there arises the question: What happens if this injection is stopped after some time? Can the invasive species recover? To answer that question, we perform a rigorous bifurcation analysis and study the basin of attraction of the recovery state and the extinction state in both the full model and a certain reduced model. In particular, we find a theoretical condition for the eradication strategy to work. Additionally, the consideration of an Allee effect and the possibility of a Turing instability are also studied in this work. Our results show that: (1) with the inclusion of an Allee effect, the number of the invasive females is not required to be very low when the introduction of the sex-reversed trojan females is stopped, and the remaining Trojan Y-Chromosome population is sufficient to induce extinction of the invasive females; (2) incorporating diffusive spatial spread does not produce a Turing instability, which would have suggested that the TYC eradication strategy might be only partially effective, leaving a patchy distribution of the invasive species. © 2013 Springer-Verlag Berlin Heidelberg.
dc.description.sponsorshipThis work was supported by the NSF-REU program DMS-0850470. This publication is based in part on work supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).
dc.publisherSpringer Nature
dc.subjectAllee effect
dc.subjectExtinction
dc.subjectRecovery
dc.subjectTrojan Y-Chromosome eradication strategy
dc.subjectTuring instability
dc.titleAnalysis of the Trojan Y-Chromosome eradication strategy for an invasive species
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalJournal of Mathematical Biology
dc.contributor.institutionDepartment of Mathematics, Texas A and M University, College Station, TX, 77843, United States
dc.contributor.institutionDepartment of Mathematics, Carleton College, Northfield, MN, 55057, United States
kaust.personParshad, Rana
kaust.grant.numberKUS-C1-016-04
dc.date.published-online2013-05-24
dc.date.published-print2014-06


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