Analysis of transmission dynamics for Zika virus on networks

Li Li; Jie Zhang; Chen Liu; Hong Tao Zhang; Yi Wang; Zhen Wang

doi:10.1016/j.amc.2018.11.042

Analysis of transmission dynamics for Zika virus on networks

Li Li
, Jie Zhang
, Chen Liu
, Hong Tao Zhang
, Yi Wang
, Zhen Wang

School of Cybersecurity

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

53 Scopus citations

Abstract

Transmission of Zika virus (ZIKV) is a serious problem in public health, which can make the babies suffer from microcephaly if their mothers are infected by ZIKV during pregnancy. In this paper, we develop a model of ZIKV transmission in Colombia on complex networks which considers both sexual transmission among humans and the transmission by an infective vector in the process of propagation. We estimate the basic reproduction number R₀ and prove that the disease-free equilibrium is globally asymptotically stable when R₀<1. In addition, we study the effects of sexual transmission and the transmission route by an infective vector on the process of propagation. Invasion regions of ZIKV were shown in two-parameters space. The obtained results may provide new insights for the control of ZIKV.

Original language	English
Pages (from-to)	566-577
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	347
DOIs	https://doi.org/10.1016/j.amc.2018.11.042
State	Published - 15 Apr 2019

UN SDGs

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

SDG 3 Good Health and Well-being

Keywords

Basic reproduction number
Complex networks
Disease control
ZIKV

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10.1016/j.amc.2018.11.042

Cite this

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title = "Analysis of transmission dynamics for Zika virus on networks",

abstract = "Transmission of Zika virus (ZIKV) is a serious problem in public health, which can make the babies suffer from microcephaly if their mothers are infected by ZIKV during pregnancy. In this paper, we develop a model of ZIKV transmission in Colombia on complex networks which considers both sexual transmission among humans and the transmission by an infective vector in the process of propagation. We estimate the basic reproduction number R0 and prove that the disease-free equilibrium is globally asymptotically stable when R0<1. In addition, we study the effects of sexual transmission and the transmission route by an infective vector on the process of propagation. Invasion regions of ZIKV were shown in two-parameters space. The obtained results may provide new insights for the control of ZIKV.",

keywords = "Basic reproduction number, Complex networks, Disease control, ZIKV",

author = "Li Li and Jie Zhang and Chen Liu and Zhang, \{Hong Tao\} and Yi Wang and Zhen Wang",

note = "Publisher Copyright: {\textcopyright} 2018",

year = "2019",

month = apr,

day = "15",

doi = "10.1016/j.amc.2018.11.042",

language = "英语",

volume = "347",

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journal = "Applied Mathematics and Computation",

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TY - JOUR

T1 - Analysis of transmission dynamics for Zika virus on networks

AU - Li, Li

AU - Zhang, Jie

AU - Liu, Chen

AU - Zhang, Hong Tao

AU - Wang, Yi

AU - Wang, Zhen

PY - 2019/4/15

Y1 - 2019/4/15

N2 - Transmission of Zika virus (ZIKV) is a serious problem in public health, which can make the babies suffer from microcephaly if their mothers are infected by ZIKV during pregnancy. In this paper, we develop a model of ZIKV transmission in Colombia on complex networks which considers both sexual transmission among humans and the transmission by an infective vector in the process of propagation. We estimate the basic reproduction number R0 and prove that the disease-free equilibrium is globally asymptotically stable when R0<1. In addition, we study the effects of sexual transmission and the transmission route by an infective vector on the process of propagation. Invasion regions of ZIKV were shown in two-parameters space. The obtained results may provide new insights for the control of ZIKV.

AB - Transmission of Zika virus (ZIKV) is a serious problem in public health, which can make the babies suffer from microcephaly if their mothers are infected by ZIKV during pregnancy. In this paper, we develop a model of ZIKV transmission in Colombia on complex networks which considers both sexual transmission among humans and the transmission by an infective vector in the process of propagation. We estimate the basic reproduction number R0 and prove that the disease-free equilibrium is globally asymptotically stable when R0<1. In addition, we study the effects of sexual transmission and the transmission route by an infective vector on the process of propagation. Invasion regions of ZIKV were shown in two-parameters space. The obtained results may provide new insights for the control of ZIKV.

KW - Basic reproduction number

KW - Complex networks

KW - Disease control

KW - ZIKV

UR - https://www.scopus.com/pages/publications/85057786623

U2 - 10.1016/j.amc.2018.11.042

DO - 10.1016/j.amc.2018.11.042

M3 - 文章

AN - SCOPUS:85057786623

SN - 0096-3003

VL - 347

SP - 566

EP - 577

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Analysis of transmission dynamics for Zika virus on networks

Abstract

UN SDGs

Keywords

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