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• W4294480404 abstract "This paper studies an SIS-type Lyme transmission model incorporating insecticides spraying and vaccination as interventions. We obtain the positivity and boundedness of solutions, calculate the basic reproduction number, and discuss the global stability of disease-free and endemic equilibria when the basic reproduction number [Formula: see text] and [Formula: see text], respectively. We apply Pontryagin’s maximum principle to explore an optimal control strategy to minimize the number of infected ticks and hosts and the cost of using insecticides and vaccination. We design numerical simulations to illustrate the effectiveness of theoretical analysis." @default.
• W4294480404 created "2022-09-03" @default.
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• W4294480404 date "2022-08-31" @default.
• W4294480404 modified "2023-09-26" @default.
• W4294480404 title "STABILITY ANALYSIS AND OPTIMAL CONTROL OF A LYME DISEASE MODEL WITH INSECTICIDES SPRAYING AND VACCINATION" @default.
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• W4294480404 doi "https://doi.org/10.1142/s021833902250022x" @default.
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