Flu epidemics: a two-strain flu model with a single vaccination

DOI10.1080/17513758.2010.510213zbMath1225.92028OpenAlexW2057584364MaRDI QIDQ3096826

Xingfu Zou, S. M. Ashrafur Rahman

Publication date: 15 November 2011

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2010.510213

zbMATH Keywords

Lyapunov functionequilibriumglobal asymptotic stabilitybasic reproduction numberepidemicsvaccinationinfluenza

Mathematics Subject Classification ID

Global stability of solutions to ordinary differential equations (34D23) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Asymptotic properties of solutions to ordinary differential equations (34D05) Medical epidemiology (92C60)

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Cites Work

• Unnamed Item
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Global stability for an SIR epidemic model with delay and nonlinear incidence
• The dynamics of cocirculating influenza strains conferring partial cross-immunity
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A graph-theoretic approach to the method of global Lyapunov functions

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