Wolbachia invasion to wild mosquito population in stochastic environment

Cui, Yuanping and Li, Xiaoyue and Mao, Xuerong and Yang, Hongfu (2024) Wolbachia invasion to wild mosquito population in stochastic environment. Journal of Differential Equations, 378. pp. 360-398. ISSN 0022-0396 (https://doi.org/10.1016/j.jde.2023.09.033)

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Abstract

Releasing Wolbachia-infected mosquitoes to invade the wild mosquito population is a method of mosquito control. In this paper, a stochastic mosquito population model with Wolbachia invasion perturbed by environmental fluctuation is studied. Firstly, the well-posedness, positivity, and Markov-Feller property of the solution for this model are proved. Then a group of sharp threshold-type conditions is provided to characterize the long-term behavior of the model, which pinpoints the almost necessary and sufficient conditions for the persistence and extinction of Wolbachia-infected and uninfected mosquito populations. Our results indicate that even for a low initial Wolbachia infection frequency, a successful Wolbachia invasion into the wild mosquito population can be driven by stochastic environmental fluctuations. Finally, some numerical experiments are carried out to support our theoretical results.

  • Item type:Article
    ID code:86953
    Dates:
    Date
    Event
    5 January 2024
    Published
    10 October 2023
    Published Online
    26 September 2023
    Accepted
    2 February 2023
    Submitted
    Notes:Copyright © Elsevier Ltd. All rights reserved. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/
    Subjects:Science > Microbiology
    Science > Mathematics > Probabilities. Mathematical statistics
    Department:Faculty of Science > Mathematics and Statistics
    Depositing user: Pure Administrator
    Date deposited:13 Oct 2023 09:28
    Last modified:09 Apr 2024 04:21
    URI:https://strathprints.strath.ac.uk/id/eprint/86953
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