IDEAS home Printed from https://ideas.repec.org/a/eee/thpobi/v106y2015icp32-44.html
   My bibliography  Save this article

Wolbachia spread dynamics in stochastic environments

Author

Listed:
  • Hu, Linchao
  • Huang, Mugen
  • Tang, Moxun
  • Yu, Jianshe
  • Zheng, Bo

Abstract

Dengue fever is a mosquito-borne viral disease with 100 million people infected annually. A novel strategy for dengue control uses the bacterium Wolbachia to invade dengue vector Aedes mosquitoes. As the impact of environmental heterogeneity on Wolbachia spread dynamics in natural areas has been rarely quantified, we develop a model of differential equations for which the environmental conditions switch randomly between two regimes. We find some striking phenomena that random regime transitions could drive Wolbachia to extinction from certain initial states confirmed Wolbachia fixation in homogeneous environments, and mosquito releasing facilitates Wolbachia invasion more effectively when the regimes transit frequently. By superimposing the phase spaces of the ODE systems defined in each regime, we identify the threshold curves below which Wolbachia invades the whole population, which extends the theory of threshold infection frequency to stochastic environments.

Suggested Citation

  • Hu, Linchao & Huang, Mugen & Tang, Moxun & Yu, Jianshe & Zheng, Bo, 2015. "Wolbachia spread dynamics in stochastic environments," Theoretical Population Biology, Elsevier, vol. 106(C), pages 32-44.
    • Handle: RePEc:eee:thpobi:v:106:y:2015:i:c:p:32-44
    DOI: 10.1016/j.tpb.2015.09.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S004058091500088X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.tpb.2015.09.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Qiming Huang & Lijie Chang & Zhaowang Zhang & Bo Zheng, 2023. "Global Dynamics for Competition between Two Wolbachia Strains with Bidirectional Cytoplasmic Incompatibility," Mathematics, MDPI, vol. 11(7), pages 1-21, April.
    2. Li, Yazhi & Liu, Xianning, 2020. "Modeling and control of mosquito-borne diseases with Wolbachia and insecticides," Theoretical Population Biology, Elsevier, vol. 132(C), pages 82-91.
    3. Lin Zhang & Wenjuan Guo, 2023. "Finite-Time Contraction Stability and Optimal Control for Mosquito Population Suppression Model," Mathematics, MDPI, vol. 12(1), pages 1-13, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:thpobi:v:106:y:2015:i:c:p:32-44. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/intelligence .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.