The Fixed Points of a Seasonal Model of Population Infectives
| dc.contributor.advisor | John Franke, Committee Chair | en_US |
| dc.contributor.advisor | Xiao-Biao Lin, Committee Member | en_US |
| dc.contributor.advisor | James Selgrade, Committee Member | en_US |
| dc.contributor.author | Gaither, Jeffrey Beau Sellers | en_US |
| dc.date.accessioned | 2010-04-02T18:00:15Z | |
| dc.date.available | 2010-04-02T18:00:15Z | |
| dc.date.issued | 2007-04-30 | en_US |
| dc.degree.discipline | Mathematics | en_US |
| dc.degree.level | thesis | en_US |
| dc.degree.name | MS | en_US |
| dc.description.abstract | We model the spread of epidemics among insect populations. The mapping Ft = (1−e−INt )(Nt −I) + I iterates on the current number of infectants to produce the number of infectants in the next time-period. The value Nt is the current population, and it is known that population follows a globally attracting cycle N1 . . .Np, which represents the population at various times of the year. Thus, the function F = Fp ο ... οF1 maps infectants to infecants on a month-to-month or seasonto- season basis. We show that for p = 2, F has only one attractor. We also show that for any F there is 0 such that for any > 0, F has only one attractor. We give an example of multiple attractors in the p = 4 case, and provide a means by which the composition F can be represented as a composition of functions which are all scalar multiples of F1. | en_US |
| dc.identifier.other | etd-03282007-164223 | en_US |
| dc.identifier.uri | http://www.lib.ncsu.edu/resolver/1840.16/1040 | |
| dc.rights | I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dis sertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to NC State University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report. | en_US |
| dc.subject | insect epidemic infectives | en_US |
| dc.title | The Fixed Points of a Seasonal Model of Population Infectives | en_US |
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