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• W2912506578 abstract "We investigate the global dynamics of a general Kermack-McKendrick-type epidemic model formulated in terms of a system of renewal equations. Specifically, we consider a renewal model for which both the force of infection and the infected removal rates are arbitrary functions of the infection age, [Formula: see text], and use the direct Lyapunov method to establish the global asymptotic stability of the equilibrium solutions. In particular, we show that the basic reproduction number, [Formula: see text], represents a sharp threshold parameter such that for [Formula: see text], the infection-free equilibrium is globally asymptotically stable; whereas the endemic equilibrium becomes globally asymptotically stable when [Formula: see text], i.e. when it exists." @default.
• W2912506578 created "2019-02-21" @default.
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• W2912506578 date "2019-02-09" @default.
• W2912506578 modified "2023-09-27" @default.
• W2912506578 title "Global stability properties of a class of renewal epidemic models" @default.
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• W2912506578 doi "https://doi.org/10.1007/s00285-018-01324-1" @default.
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