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- W4212929873 abstract "We investigate a mosquito population suppression model, which includes the release of Wolbachia-infected males causing incomplete cytoplasmic incompatibility (CI). The model consists of two sub-equations by considering the density-dependent birth rate of wild mosquitoes. By assuming the release waiting period T is larger than the sexual lifespan T¯ of Wolbachia-infected males, we derive four thresholds: the CI intensity threshold sh∗, the release amount thresholds g∗ and c∗, and the waiting period threshold T∗. From a biological view, we assume sh>sh∗ throughout the paper. When g∗<c<c∗, we prove the origin E0 is locally asymptotically stable iff T<T∗, and the model admits a unique T-periodic solution iff T≥T∗, which is globally asymptotically stable. When c≥c∗, we show the origin E0 is globally asymptotically stable iff T≤T∗, and the model has a unique T-periodic solution iff T>T∗, which is globally asymptotically stable. Our theoretical results are confirmed by numerical simulations." @default.
- W4212929873 created "2022-02-24" @default.
- W4212929873 creator A5007923079 @default.
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- W4212929873 date "2022-02-15" @default.
- W4212929873 modified "2023-09-25" @default.
- W4212929873 title "Uniqueness and stability of periodic solutions for an interactive wild and <i>Wolbachia</i>-infected male mosquito model" @default.
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- W4212929873 doi "https://doi.org/10.1080/17513758.2022.2037760" @default.
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