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Computational and Analytical Mathematical Techniques for Modeling Heterogeneity


Abstract This dissertation is intended to tie together a body of work which utilizes a variety of methods to study applied mathematical models involving heterogeneity often omitted with classical modeling techniques. I posit three cogent classifications of heterogeneity: physiological, behavioral, and local (specifically connectivity in this work). I consider physiological heterogeneity using the method of transport equations to study heterogeneous susceptibility to diseases in open populations (those with births and deaths). I then present three separate models of behavioral heterogeneity. An SIS/SAS model of gonorrhea transmission in a population of highly active men-who-have-sex-with-men (MSM) is presented to study the impact of safe behavior (pr... (more)
Created Date 2012
Contributor Morin, Benjamin Richard (Author) / Castillo-Chavez, Carlos (Advisor) / Hiebeler, David (Advisor) / Hruschka, Daniel (Committee member) / Suslov, Sergei (Committee member) / Arizona State University (Publisher)
Subject Applied mathematics
Type Doctoral Dissertation
Extent 114 pages
Language English
Copyright
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Note Ph.D. Applied Mathematics for the Life and Social Sciences 2012
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS


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Description Dissertation/Thesis