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In this dissertation, we build a compartment model to investigate the dynamics of spread of dengue fever in both human and mosquito populations. We study the demographic factors that influence equilibrium prevalence, and perform a sensitivity analysis on the basic reproduction number. Among several intervention measures, the effects of two potential control methods for dengue fever are estimated: introducing Wolbachia to the mosquito population and introducing vaccines to the human population. A stochastic model for transmission of dengue fever is also built to explore the effect of some demographic factors.
Dengue Fever, Game Theory, Mathematical Modeling, Wolbachia
Date of Defense
May 30, 2014.
A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Includes bibliographical references.
Mike Mesterton-Gibbons, Professor Directing Dissertation; Daniel Schwartz, University Representative; Giray Okten, Committee Member; Nick Cogan, Committee Member; Brian Ewald, Committee Member.
Florida State University
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