Mathematics of a model for Zika transmission dynamics

Y. A. Terefe; H. Gaff; M. Kamga; L. van der Mescht

doi:10.1007/s12064-018-0272-7

Mathematics of a model for Zika transmission dynamics

Y. A. Terefe
, H. Gaff
, M. Kamga
, L. van der Mescht

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

Zika is a flavivirus transmitted to humans through either the bite of infected Aedes mosquitoes or sexual intercourse with infected individuals. In this paper, we present a mathematical model based on these two modes of transmission. Using the next-generation matrix method, a threshold parameter called basic reproduction number is determined. Sensitivity analysis of the basic reproduction number in terms of parameters involved in its formulation is discussed. A dynamically consistent nonstandard finite difference scheme is designed to replicate the properties of the continuous model. Numerical simulations of the nonstandard finite difference scheme that we have constructed show the number of infected humans due to sexual intercourse with Zika virus infectious individuals. The numerical simulations also support the theoretical analysis of the model.

Original language	English
Pages (from-to)	209-218
Number of pages	10
Journal	Theory in Biosciences
Volume	137
Issue number	2
DOIs	https://doi.org/10.1007/s12064-018-0272-7
State	Published - 1 Nov 2018
Externally published	Yes

Keywords

Basic reproduction number
Disease-free equilibrium
Zika virus

ASJC Scopus subject areas

Statistics and Probability
Ecology, Evolution, Behavior and Systematics
Applied Mathematics

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1007/s12064-018-0272-7

Cite this

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abstract = "Zika is a flavivirus transmitted to humans through either the bite of infected Aedes mosquitoes or sexual intercourse with infected individuals. In this paper, we present a mathematical model based on these two modes of transmission. Using the next-generation matrix method, a threshold parameter called basic reproduction number is determined. Sensitivity analysis of the basic reproduction number in terms of parameters involved in its formulation is discussed. A dynamically consistent nonstandard finite difference scheme is designed to replicate the properties of the continuous model. Numerical simulations of the nonstandard finite difference scheme that we have constructed show the number of infected humans due to sexual intercourse with Zika virus infectious individuals. The numerical simulations also support the theoretical analysis of the model.",

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AU - Terefe, Y. A.

AU - Gaff, H.

AU - Kamga, M.

AU - van der Mescht, L.

PY - 2018/11/1

Y1 - 2018/11/1

N2 - Zika is a flavivirus transmitted to humans through either the bite of infected Aedes mosquitoes or sexual intercourse with infected individuals. In this paper, we present a mathematical model based on these two modes of transmission. Using the next-generation matrix method, a threshold parameter called basic reproduction number is determined. Sensitivity analysis of the basic reproduction number in terms of parameters involved in its formulation is discussed. A dynamically consistent nonstandard finite difference scheme is designed to replicate the properties of the continuous model. Numerical simulations of the nonstandard finite difference scheme that we have constructed show the number of infected humans due to sexual intercourse with Zika virus infectious individuals. The numerical simulations also support the theoretical analysis of the model.

AB - Zika is a flavivirus transmitted to humans through either the bite of infected Aedes mosquitoes or sexual intercourse with infected individuals. In this paper, we present a mathematical model based on these two modes of transmission. Using the next-generation matrix method, a threshold parameter called basic reproduction number is determined. Sensitivity analysis of the basic reproduction number in terms of parameters involved in its formulation is discussed. A dynamically consistent nonstandard finite difference scheme is designed to replicate the properties of the continuous model. Numerical simulations of the nonstandard finite difference scheme that we have constructed show the number of infected humans due to sexual intercourse with Zika virus infectious individuals. The numerical simulations also support the theoretical analysis of the model.

KW - Basic reproduction number

KW - Disease-free equilibrium

KW - Zika virus

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JO - Theory in Biosciences

JF - Theory in Biosciences

IS - 2

ER -

Mathematics of a model for Zika transmission dynamics

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

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