An SEIQR model for childhood diseases

DOI10.1007/s00285-008-0239-2zbMath1231.92049OpenAlexW2051281180WikidataQ40402730 ScholiaQ40402730MaRDI QIDQ843318

David J. Gerberry, Fabio Augusto Milner

Publication date: 12 October 2009

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

Full work available at URL: https://doi.org/10.1007/s00285-008-0239-2

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Perturbations of ordinary differential equations (34D10) Medical epidemiology (92C60)

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Uses Software

• AUTO

Cites Work

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• Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations
• Population size dependent incidence in models for diseases without immunity
• Homoclinic bifurcation in an SIQR model for childhood diseases
• Recurrent outbreaks of childhood diseases revisited: The impact of isolation
• Four SEI endemic models with periodicity and separatrices
• Directly Transmitted Infections Diseases: Control by Vaccination
• Deterministic models for common childhood diseases
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)

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