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Title: Dengue transmission : mathematical model with discrete time delays and estimation of the reproduction number
Authors: Wu, Chunqing
Wong, Patricia Jia Yiing
Keywords: Dengue Transmission
Engineering::Electrical and electronic engineering
Mathematical Model
Issue Date: 2019
Source: Wu, C., & Wong, P. J. Y. (2019). Dengue transmission: mathematical model with discrete time delays and estimation of the reproduction number. Journal of Biological Dynamics, 13(1), 1-25. doi:10.1080/17513758.2018.1562572
Series/Report no.: Journal of Biological Dynamics
Abstract: In this paper, we establish a mathematical model with two delays to reflect the intrinsic and extrinsic incubation periods of virus in dengue transmission. The basic reproduction number R0 of the model is defined. It is proved that the disease-free equilibrium is stable when R0<1 and the positive equilibrium is stable when R0>1. Next, we derive an estimation formula for the reproduction number Rt when the human population is partially susceptible to dengue. As an application, the Rt values of dengue transmission in Singapore in the years 2013–2015 are estimated. Our estimation method can be applied to estimating Rt of other infectious diseases, especially when the human population is not completely susceptible to the disease.
ISSN: 1751-3758
DOI: 10.1080/17513758.2018.1562572
Rights: © 2019 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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