Waning and boosting: on the dynamics of immune status

DOI10.1007/s00285-018-1239-5zbMath1404.92178OpenAlexW2804760856WikidataQ64137749 ScholiaQ64137749MaRDI QIDQ1633951

Odo Diekmann, P. F. M. Teunis, W. F. de Graaf, Mirjam E. E. Kretzschmar

Publication date: 21 December 2018

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

Full work available at URL: https://doi.org/10.1007/s00285-018-1239-5

zbMATH Keywords

renewal equationstable distributionnext-generation operatorboosting of immunitywaning of immunity

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (10)

A nonstandard finite difference scheme for the SVICDR model to predict COVID-19 dynamics ⋮ A structured population model with diffusion in structure space ⋮ Infection severity across scales in multi-strain immuno-epidemiological dengue model structured by host antibody level ⋮ Asymptotic Properties of a General Model of Immune Status ⋮ Evolution of pathogens with cross-immunity in response to healthcare interventions ⋮ Modelling physiologically structured populations: renewal equations and partial differential equations ⋮ One dimensional reduction of a renewal equation for a measure-valued function of time describing population dynamics ⋮ Modelling immune memory development ⋮ ROLE OF REPEAT INFECTION IN THE DYNAMICS OF A SIMPLE MODEL OF WANING AND BOOSTING IMMUNITY ⋮ An age-structured epidemic model with boosting and waning of immune status

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