Delay versus age-of-infection -- global stability

DOI10.1016/j.amc.2010.08.037zbMath1202.92079OpenAlexW1965423534MaRDI QIDQ613227

C. Connell McCluskey

Publication date: 20 December 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.08.037

zbMATH Keywords

delayglobal stabilityLyapunov functionalage-of-infection

Mathematics Subject Classification ID

Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

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Cites Work

• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Global stability of an SIR epidemic model with constant infectious period
• Global stability for an SIR epidemic model with delay and nonlinear incidence
• Complete global stability for an SIR epidemic model with delay - distributed or discrete
• Lyapunov functional and global asymptotic stability for an infection-age model

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