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.
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- Partial requirement for: Ph. D., Arizona State University, 2012Note typethesis
- Includes bibliographical references (p. 94-106)Note typebibliography
- Field of study: Applied mathematics for the life and social sciences