Modelling the effect of a booster vaccination on disease epidemology

DOI10.1007/s00285-005-0356-0zbMath1086.92010OpenAlexW2028013595WikidataQ51960253 ScholiaQ51960253MaRDI QIDQ2369297

Pejman Rohani, A. R. Summers, Seyed M. Moghadas, Murray E. Alexander

Publication date: 9 May 2006

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

Full work available at URL: https://doi.org/10.1007/s00285-005-0356-0

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Physiology (general) (92C30) Global stability of solutions to ordinary differential equations (34D23)

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Cites Work

• Unnamed Item
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• The reinfection threshold
• Evaluation of age-specific vaccination strategies
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Pulse vaccination strategy in the SIR epidemic model
• Waning immunity and its effects on vaccination schedules
• A mathematical study of a model for childhood diseases with non-permanent immunity
• An unconditionally convergent finite-difference scheme for the \(SIR\) model
• A simple vaccination model with multiple endemic states
• Vaccination strategies and backward bifurcation in an age-since-infection structured model
• Modelling the effect of imperfect vaccines on disease epidemiology
• Infection, reinfection, and vaccination under suboptimal immune protection: epidemiological perspectives
• The reinfection threshold does not exist
• Global stability of an age-structured SIRS epidemic model with vaccination
• The Mathematics of Infectious Diseases
• Optimal Vaccination Patterns in Age-Structured Populations
• Seasonally forced disease dynamics explored as switching between attractors

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