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Analysis of transmission dynamics for Zika virus on networks

Author

Listed:
  • Li, Li
  • Zhang, Jie
  • Liu, Chen
  • Zhang, Hong-Tao
  • Wang, Yi
  • Wang, Zhen

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.

Suggested Citation

  • Li, Li & Zhang, Jie & Liu, Chen & Zhang, Hong-Tao & Wang, Yi & Wang, Zhen, 2019. "Analysis of transmission dynamics for Zika virus on networks," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 566-577.
    • Handle: RePEc:eee:apmaco:v:347:y:2019:i:c:p:566-577
    DOI: 10.1016/j.amc.2018.11.042
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    Citations

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    Cited by:

    1. Santos, Eslaine S. & Miranda, José G.V. & Saba, Hugo & Skalinski, Lacita M. & Araújo, Marcio L.V. & Veiga, Rafael V. & Costa, Maria da Conceição N. & Cardim, Luciana L. & Paixão, Enny S. & Teixeira, M, 2023. "Complex network analysis of arboviruses in the same geographic domain: Differences and similarities," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. M., Pitchaimani & M., Brasanna Devi, 2020. "Random effects in HIV infection model at Eclipse stage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
    3. Hernández Guillén, J.D. & Martín del Rey, A., 2020. "A mathematical model for malware spread on WSNs with population dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    4. Gashirai, Tinashe B. & Musekwa-Hove, Senelani D. & Lolika, Paride O. & Mushayabasa, Steady, 2020. "Global stability and optimal control analysis of a foot-and-mouth disease model with vaccine failure and environmental transmission," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    5. Xu, Bo & Wang, Ying & Han, Yu & He, Yuchang & Wang, Ziwei, 2021. "Interaction patterns and coordination in two population groups: A dynamic perspective," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    6. Guo, Zun-Guang & Sun, Gui-Quan & Wang, Zhen & Jin, Zhen & Li, Li & Li, Can, 2020. "Spatial dynamics of an epidemic model with nonlocal infection," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    7. Luo, Xiao-Feng & Jin, Zhen & He, Daihai & Li, Li, 2021. "The impact of contact patterns of sexual networks on Zika virus spread: A case study in Costa Rica," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    8. Gong, Jing & Wu, Yong-Ping & Li, Li, 2019. "Parameters estimation in Ebola virus transmission dynamics model based on machine learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    9. Wang, Jin-Shan & Wu, Yong-Ping & Li, Li & Sun, Gui-Quan, 2020. "Effect of mobility and predator switching on the dynamical behavior of a predator-prey model," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    10. Wei Zhang & Juan Zhang & Yong-Ping Wu & Li Li, 2019. "Dynamical Analysis of the SEIB Model for Brucellosis Transmission to the Dairy Cows with Immunological Threshold," Complexity, Hindawi, vol. 2019, pages 1-13, May.
    11. Xie, Yingkang & Wang, Zhen, 2021. "Transmission dynamics, global stability and control strategies of a modified SIS epidemic model on complex networks with an infective medium," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 23-34.
    12. d’Onofrio, Alberto & Banerjee, Malay & Manfredi, Piero, 2020. "Spatial behavioural responses to the spread of an infectious disease can suppress Turing and Turing–Hopf patterning of the disease," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).

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