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Global stability properties of a class of renewal epidemic models

Meehan, Michael T.; Cocks, Daniel; Müller, Johannes; McBryde, Emma

Description

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, τ , 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, R0 , represents a sharp...[Show more]

CollectionsANU Research Publications
Date published: 2019
Type: Journal article
URI: http://hdl.handle.net/1885/205557
Source: Journal of Mathematical Biology
DOI: 10.1007/s00285-018-01324-1

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