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Article
Analysis of a Dengue Model with Vertical Transmission and Application to the 2014 Dengue Outbreak in Guangdong Province, China
Bulletin of Mathematical Biology
  • Lan Zou, Sichuan University - China
  • Jing Chen, Nova Southeastern University
  • Xiaomei Feng, Yuncheng University - China
  • Shigui Ruan, University of Miami
Document Type
Article
Publication Date
8-6-2018
Keywords
  • Dengue,
  • Vertical transmission,
  • Mathematical model,
  • Basic reproduction number,
  • Disease-free and disease-endemic equilibra
Abstract

There is evidence showing that vertical transmission of dengue virus exists in Aedesmosquitoes. In this paper, we propose a deterministic dengue model with vertical transmission in mosquitoes by including aquatic mosquitoes (eggs, larvae and pupae), adult mosquitoes (susceptible, exposed and infectious) and human hosts (susceptible, exposed, infectious and recovered). We first analyze the existence and stability of disease-free equilibria, calculate the basic reproduction number and discuss the existence of the disease-endemic equilibrium. Then, we study the impact of vertical transmission of the virus in mosquitoes on the spread dynamics of dengue. We also use the model to simulate the reported infected human data from the 2014 dengue outbreak in Guangdong Province, China, carry out sensitivity analysis of the basic reproduction number in terms of the model parameters, and seek for effective control measures for the transmission of dengue virus.

Comments

©Society for Mathematical Biology 2018

Additional Comments
NSF grant #: DMS-1412454; NSFC grant #s: 11771168, 11501498; Yuncheng University grant #: YQ-2016004
DOI
10.1007/s11538-018-0480-9
Citation Information
Lan Zou, Jing Chen, Xiaomei Feng and Shigui Ruan. "Analysis of a Dengue Model with Vertical Transmission and Application to the 2014 Dengue Outbreak in Guangdong Province, China" Bulletin of Mathematical Biology (2018) p. 1 - 19 ISSN: 0092-8240
Available at: http://works.bepress.com/jing-chen/2/