The discrete age-structured SEIT model with application to tuberculosis transmission in China

DOI10.1016/j.mcm.2011.08.017zbMath1255.39007OpenAlexW1982399666MaRDI QIDQ1930950

Hui Cao, Yicang Zhou

Publication date: 24 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.08.017

zbMATH Keywords

persistencetuberculosisdiscrete epidemic modelage structurethe reproduction number

Mathematics Subject Classification ID

Epidemiology (92D30) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)

Related Items (16)

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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
• Some discrete-time SI, SIR, and SIS epidemic models
• A model for an SI disease in an age-structured population
• Applications of Perron-Frobenius theory to population dynamics
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Discrete-time S-I-S models with complex dynamics.
• Comparison of deterministic and stochastic SIS and SIR models in discrete time
• Global stability of a class of discrete age-structured SIS models with immigration
• A Two-Strain Tuberculosis Model with Age of Infection
• Discrete-Time SIS EpidemicModel in a Seasonal Environment
• The basic reproduction number in some discrete-time epidemic models
• Dynamical systems in population biology
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