Analysis of transmission dynamics for Zika virus on networks

被引：51

作者：

Li, Li ^{[1
,2
,3
]}

Zhang, Jie ^{[1
]}

Liu, Chen ^{[4
]}

Zhang, Hong-Tao ^{[2
,5
]}

Wang, Yi ^{[6
]}

Wang, Zhen ^{[7
,8
]}

机构：

[1] Shanxi Univ, Sch Comp & Informat Technol, Taiyuan 030006, Shanxi, Peoples R China

[2] Shanxi Univ, Shanxi Key Lab Math Tech & Big Data Anal Dis Cont, Taiyuan 030006, Shanxi, Peoples R China

[3] North Univ China, Sci & Technol Elect Test & Measurement Lab, Taiyuan 030051, Shanxi, Peoples R China

[4] Northwestern Polytech Univ, Ctr Ecol & Environm Sci, Xian 710072, Shaanxi, Peoples R China

[5] Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China

[6] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China

[7] Northwestern Polytech Univ, Sch Mech Engn, Xian 710072, Shaanxi, Peoples R China

[8] Northwestern Polytech Univ, Ctr OPT IMagery Anal & Learning OPTIMAL, Xian 710072, Shaanxi, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 347卷

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

ZIKV; Complex networks; Basic reproduction number; Disease control; EPIDEMIC; VECTOR; MODELS;

D O I：

10.1016/j.amc.2018.11.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 R-0 and prove that the disease-free equilibrium is globally asymptotically stable when R-0 < 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. (C) 2018 Published by Elsevier Inc.

引用

页码：566 / 577

页数：12

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