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• W2042391826 abstract "In this paper, a SIR epidemic model with nonlinear incidence rate and time delay is investigated. By analyzing the corresponding characteristic equations, the local stability of an endemic equilibrium and a disease free equilibrium is discussed. It is proved that if the basic reproductive number R0>1, the system is permanent. By comparison arguments, it is shown that if R0<1, the disease free equilibrium is globally asymptotically stable. If R0>1, by means of an iteration technique and Lyapunov functional technique, respectively, sufficient conditions are obtained for the global asymptotic stability of the endemic equilibrium." @default.
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• W2042391826 date "2009-10-01" @default.
• W2042391826 modified "2023-10-11" @default.
• W2042391826 title "Global stability of a SIR epidemic model with nonlinear incidence rate and time delay" @default.
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• W2042391826 doi "https://doi.org/10.1016/j.nonrwa.2008.10.013" @default.
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