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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
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    Cited by:

    1. 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.
    2. 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.
    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.

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