Dynamical complexity in age-structured models of the transmission of the measles virus: Epidemiological implications at high levels of vaccine uptake

DOI10.1016/S0025-5564(96)00127-7zbMath0887.92029OpenAlexW2067542266WikidataQ41296778 ScholiaQ41296778MaRDI QIDQ1361468

Neil M. Ferguson, Roy M. Anderson, D. James Nokes

Publication date: 12 May 1998

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0025-5564(96)00127-7

zbMATH Keywords

limit cyclesordinary differential equations modelmeaslesmetapopulation modelsstratified age structure

Mathematics Subject Classification ID

Epidemiology (92D30)

Related Items

Effect of variability in infection period on the persistence and spatial spread of infectious diseases ⋮ Analysis of steady state solutions to an age structured SEQIR model with optimal vaccination ⋮ Seasonally forced disease dynamics explored as switching between attractors ⋮ External forcing of ecological and epidemiological systems: a resonance approach ⋮ Numerical modelling of an SIR epidemic model with diffusion ⋮ A method to estimate the incidence of communicable diseases under seasonal fluctuations with application to cholera ⋮ The 1997 Measles Outbreak in Metropolitan São Paulo, Brazil: Strategic Implications of Increasing Urbanization ⋮ Structural identifiability analysis of age-structured PDE epidemic models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Infinite subharmonic bifurcation in an SEIR epidemic model
• Multiple stable subharmonics for a periodic epidemic model
• Multiple stable recurrent outbreaks and predictability in seasonally forced nonlinear epidemic models
• Proportionate mixing models for age-dependent infection transmission
• Multiple attractors in the response to a vaccination program
• An age-dependent epidemic model with application to measles
• Oscillations and chaos in epidemics: A nonlinear dynamic study of six childhood diseases in Copenhagen, Denmark
• Optimal ages of vaccination for measles
• On estimating the contagiousness of a disease transmitted from person to person
• Chance and chaos in population biology -- Models of recurrent epidemics and food chain dynamics
• Directly Transmitted Infections Diseases: Control by Vaccination
• Stability, Instability and Chaos
• Crises, sudden changes in chaotic attractors, and transient chaos
• Measles as a case study in nonlinear forecasting and chaos