4.7 Article

Analysis of transmission dynamics for Zika virus on networks

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 347, Issue -, Pages 566-577

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2018.11.042

Keywords

ZIKV; Complex networks; Basic reproduction number; Disease control

Funding

  1. National 1000 Young Talent Plan [W099102]
  2. Fundamental Research Funds for the Central Universities [3102017jc03007]
  3. National Natural Science Foundation of China [11501338, 11747142]
  4. Program for the Outstanding Innovative Teams (OIT) of Higher Learning Institutions of Shanxi
  5. China Postdoctoral Science Foundation [2017M621110]

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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.

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