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- W2337194618 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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- W2337194618 date "2011-01-01" @default.
- W2337194618 modified "2023-10-16" @default.
- W2337194618 title "On the global stability of an SIRS epidemic model with distributed delays" @default.
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- W2337194618 doi "https://doi.org/10.3934/proc.2011.2011.1119" @default.
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