Mathematics Faculty Articles

Title

Modeling the Importation and Local Transmission of Vector-Borne Diseases in Florida: The Case of Zika Outbreak in 2016

Document Type

Article

Publication Date

10-14-2018

Publication Title

Journal of Theoretical Biology

Keywords

Mathematical modeling, Mosquito-borne diseases, Chikungunya, Dengue, Zika, Transmission dynamics, Sensitive analysis

ISSN

0022-5193

Volume

455

First Page

342

Last Page

356

Abstract

Chikungunya, dengue, and Zika viruses are all transmitted by Aedes aegypti and Aedes albopictus mosquito species, had been imported to Florida and caused local outbreaks. We propose a deterministic model to study the importation and local transmission of these mosquito-borne diseases. The purpose is to model and mimic the importation of these viruses to Florida via travelers, local infections in domestic mosquitoes by imported travelers, and finally non-travel related transmissions to local humans by infected local mosquitoes. As a case study, the model will be used to simulate the accumulative Zika cases in Florida. Since the disease system is driven by a continuing input of infections from outside sources, orthodox analytic methods based on the calculation of the basic reproduction number are inadequate to describe and predict their behavior. Via steady-state analysis and sensitivity analysis, effective control and prevention measures for these mosquito-borne diseases are tested.

Comments

©2018 Elsevier Ltd. All rights reserved

Additional Comments

CDC grant #: 1U01CK000510-01; NSF grant #: DMS-1412454

DOI

10.1016/j.jtbi.2018.07.026

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Peer Reviewed

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