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- W3021883910 abstract "In this paper, we establish the global asymptotic stability of anendemic equilibrium for an SIRS epidemic model with distributed time delays.It is shown that the global stability holds for any rate of immunity loss, if thebasic reproduction number is greater than 1 and less than or equals to a criticalvalue. Otherwise, there is a maximal rate of immunity loss which guaranteesthe global stability. By using an extension of a Lyapunov functional establishedby [C.C. McCluskey, Complete global stability for an SIR epidemic model withdelay-Distributed or discrete, Nonlinear Anal. RWA. 11 (2010) 55-59], weprovide a partial answer to an open problem whether the endemic equilibriumis globally stable, whenever it exists, or not." @default.
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- W3021883910 date "2011-09-01" @default.
- W3021883910 modified "2023-09-25" @default.
- W3021883910 title "On the global stability of an SIRS epidemic model with distributed delays" @default.
- W3021883910 hasPublicationYear "2011" @default.
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