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Mathematical Models of Dengue Fever and Measures to Control It

Title: Mathematical Models of Dengue Fever and Measures to Control It.
Name(s): Shen, Yingyun, author
Mesterton-Gibbons, Mike, professor directing dissertation
Schwartz, Daniel, university representative
Okten, Giray, committee member
Cogan, Nick, committee member
Ewald, Brian, committee member
Department of Mathematics, degree granting department
Florida State University, degree granting institution
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2014
Publisher: Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: 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.
Identifier: FSU_migr_etd-9093 (IID)
Submitted Note: A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Degree Awarded: Summer Semester, 2014.
Date of Defense: May 30, 2014.
Keywords: Dengue Fever, Game Theory, Mathematical Modeling, Wolbachia
Bibliography Note: Includes bibliographical references.
Advisory Committee: Mike Mesterton-Gibbons, Professor Directing Dissertation; Daniel Schwartz, University Representative; Giray Okten, Committee Member; Nick Cogan, Committee Member; Brian Ewald, Committee Member.
Subject(s): Mathematics
Persistent Link to This Record:
Owner Institution: FSU

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Shen, Y. (2014). Mathematical Models of Dengue Fever and Measures to Control It. Retrieved from