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• W3021619159 abstract "In this paper, we formulate and analyze a mosquito population suppression model consisting of two sub-equations constantly switching between each other, where the waiting period T between two consecutive releases is greater than the sexual lifespan T¯ of the sterile mosquitoes. We define amount threshold c⁎ and waiting period threshold T⁎ for the releases of sterile mosquitoes. The origin is globally or locally asymptotically stable if and only if T≤T⁎ when the release amount c≥c⁎, or c<c⁎, respectively. The study of existence and uniqueness of periodic solutions is mathematically challenging and few existing results are available. Surprisingly, we obtain sufficient and necessary conditions for the existence and uniqueness of a globally asymptotically stable periodic solution based on the thresholds in all parameter settings. We give detailed proofs of our theoretical results and numerical examples to confirm them. Brief discussions on our findings are also provided." @default.
• W3021619159 created "2020-05-13" @default.
• W3021619159 creator A5051792186 @default.
• W3021619159 creator A5055115466 @default.
• W3021619159 date "2020-09-01" @default.
• W3021619159 modified "2023-10-09" @default.
• W3021619159 title "Global asymptotic stability in an interactive wild and sterile mosquito model" @default.
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• W3021619159 doi "https://doi.org/10.1016/j.jde.2020.04.036" @default.
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