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2015 | OriginalPaper | Chapter

4. Vector-Borne Diseases

Author : Maia Martcheva

Published in: An Introduction to Mathematical Epidemiology

Publisher: Springer US

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Abstract

This chapter introduces and studies vector-borne diseases. The chapter lists a number of vector-borne diseases with their prevalences. A simple two-species model of a vector-borne disease is introduced and studied mathematically. Delay-differential equations are introduced, and the simple vector-borne disease model is recast as a single delay-differential equation model. The simple model is studied both analytically and numerically, and it is shown to exhibit Hopf bifurcation and chaos. A couple of more complex ODE or DDE models of vector-borne diseases are studied.

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Metadata
Title
Vector-Borne Diseases
Author
Maia Martcheva
Copyright Year
2015
Publisher
Springer US
Book
An Introduction to Mathematical Epidemiology

Print ISBN: 978-1-4899-7611-6

Electronic ISBN: 978-1-4899-7612-3

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-1-4899-7612-3_4

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