Reproduction numbers for discrete-time epidemic models with arbitrary stage distributions

DOI10.1080/10236198.2013.772597zbMath1301.92075OpenAlexW1992380885MaRDI QIDQ2855234

Zhilan Feng, Nancy Hernandez-Ceron, Pauline van den Driessche

Publication date: 24 October 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2013.772597

zbMATH Keywords

epidemicsdiscrete-time modelreproduction numberarbitrarily distributed stage durations

Mathematics Subject Classification ID

Epidemiology (92D30) Stability theory for difference equations (39A30) Applications of difference equations (39A60)

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Cites Work

• Unnamed Item
• A comparison of continuous and discrete-time West Nile virus models
• Discrete epidemic models with arbitrary stage distributions and applications to disease control
• A graph-theoretic method for the basic reproduction number in continuous time epidemiological models
• Discrete epidemic models
• The computation of \(R_ 0\) for discrete-time epidemic models with dynamic heterogeneity
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A new method for calculating net reproductive rate from graph reduction with applications to the control of invasive species
• Epidemiological models with non-exponentially distributed disease stages and applications to disease control
• The basic reproduction number in some discrete-time epidemic models
• Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity

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