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Mathematical models of dengue fever and measures to control it

Posted on:2015-10-04Degree:Ph.DType:Dissertation
University:The Florida State UniversityCandidate:Shen, YingyunFull Text:PDF
GTID:1474390020450253Subject:Mathematics
Abstract/Summary:
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.
Keywords/Search Tags:Dengue fever, Demographic factors
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