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.
Original language | English |
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Pages (from-to) | 360-398 |
Number of pages | 39 |
Journal | Journal of Differential Equations |
Volume | 378 |
Early online date | 10 Oct 2023 |
DOIs | |
Publication status | Published - 5 Jan 2024 |
Keywords
- Wolbachia
- mosquito
- stochastic model