Backward bifurcation, equilibrium and stability phenomena in a three-stage extended BRSV epidemic model

DOI10.1007/s00285-008-0206-yzbMath1204.92059OpenAlexW1993110256WikidataQ37246844 ScholiaQ37246844MaRDI QIDQ843285

David Greenhalgh, Martin Griffiths

Publication date: 12 October 2009

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://strathprints.strath.ac.uk/14032/

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

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Uses Software

• R

Cites Work

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• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus
• Backward bifurcation in epidemic control
• Subcritical endemic steady states in mathematical models for animal infections with incomplete immunity
• A simple SIS epidemic model with a backward bifurcation
• A core group model for disease transmission
• Stability and Bifurcation for a Multiple-Group Model for the Dynamics of HIV/AIDS Transmission

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