媒体报道下具有预防接种和隔离的SIQR传染病模型研究

doi:10.16088/j.issn.1001-6600.2023101904

Abstract

Abstract: This paper studies an infectious disease model we obtain with media coverage, vaccination and isolation. By using the basic reproduction number R₀ and Lyapunov function, it is shown that the disease free equilibrium is global asymptotically stable if R₀≤1, which implies that the disease will disappear, and that the endemic equilibrium is global asymptotically stable if R₀>1, which implies that the disease will persist. Finally, the conclusion is verified by numerical analysis.

Key words: SIQR model, media coverage, vaccination, isolation, global asymptotic stable

CLC Number: O175.13

PENG Huaqin, WU Zuzheng, WANG Weiying, ZHU Qing. Study of an SIQR Epidemic Model with Vaccination and Isolation under Media Coverage[J].Journal of Guangxi Normal University(Natural Science Edition), 2024, 42(5): 110-116.

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Study of an SIQR Epidemic Model with Vaccination and Isolation under Media Coverage

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