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Dengue Fever and the Zika Virus

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Mathematical Models in Epidemiology

Part of the book series: Texts in Applied Mathematics ((TAM,volume 69))

Abstract

While there have been cases of probable dengue fever more than 1000 years ago, the first recognized dengue epidemics occurred in Asia, Africa, and North America in the 1780s. There have been frequent outbreaks since then, and the number of reported cases has been increasing rapidly recently. According to the World Health Organization, approximately 50,000,000 people worldwide are infected with dengue. Symptoms may include fever, headaches, joint and muscle pain, and nausea, but many cases are very mild. There is no cure for dengue fever, but most patients recover with rest and fluids. There are at least four different strains of dengue fever, and there is some cross-immunity between strains. Dengue fever is transmitted by the mosquito aedes aegypti, and most control strategies are aimed at mosquito control.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of British Columbia, Vancouver, BC, Canada

    Fred Brauer

  2. Mathematical and Computational Modeling Center (MCMSC), Department of Mathematics and Statistics, Arizona State University, Tempe, AZ, USA

    Carlos Castillo-Chavez

  3. Department of Mathematics, Purdue University, West Lafayette, IN, USA

    Zhilan Feng

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  1. Fred Brauer
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  2. Carlos Castillo-Chavez
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  3. Zhilan Feng
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Brauer, F., Castillo-Chavez, C., Feng, Z. (2019). Dengue Fever and the Zika Virus. In: Mathematical Models in Epidemiology. Texts in Applied Mathematics, vol 69. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-9828-9_12

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