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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
Reuse Permissions All Rights Reserved
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