Global dynamics of a discrete age-structured SIR epidemic model with applications to measles vaccination strategies

DOI10.1016/j.mbs.2018.12.003zbMath1411.34072OpenAlexW2905028357WikidataQ90358915 ScholiaQ90358915MaRDI QIDQ669154

Yan Wang, Yanyu Xiao, Linhua Zhou, Michael Y. Li

Publication date: 20 March 2019

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2018.12.003

zbMATH Keywords

global stabilityepidemic modelsdiscrete age structuremeasles vaccination

Mathematics Subject Classification ID

Epidemiology (92D30) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Cites Work

• Global stability analysis with a discretization approach for an age-structured multigroup SIR epidemic model
• Threshold behaviour of a SIR epidemic model with age structure and immigration
• Global-stability problem for coupled systems of differential equations on networks
• Uniform persistence and flows near a closed positively invariant set
• Global dynamics of a SEIR model with varying total population size
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• The Mathematics of Infectious Diseases
• The Theory of the Chemostat
• An Introduction to Mathematical Epidemiology
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