Temporal Evolution of Immunity Distributions in a Population with Waning and Boosting
Joint Authors
Barbarossa, M. V.
Polner, M.
Röst, Gergely
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-30
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We investigate the temporal evolution of the distribution of immunities in a population, which is determined by various epidemiological, immunological, and demographical phenomena: after a disease outbreak, recovered individuals constitute a large immune population; however, their immunity is waning in the long term and they may become susceptible again.
Meanwhile, their immunity can be boosted by repeated exposure to the pathogen, which is linked to the density of infected individuals present in the population.
This prolongs the length of their immunity.
We consider a mathematical model formulated as a coupled system of ordinary and partial differential equations that connects all these processes and systematically compare a number of boosting assumptions proposed in the literature, showing that different boosting mechanisms lead to very different stationary distributions of the immunity at the endemic steady state.
In the situation of periodic disease outbreaks, the waveforms of immunity distributions are studied and visualized.
Our results show that there is a possibility to infer the boosting mechanism from the population level immune dynamics.
American Psychological Association (APA)
Barbarossa, M. V.& Polner, M.& Röst, Gergely. 2018. Temporal Evolution of Immunity Distributions in a Population with Waning and Boosting. Complexity،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1136626
Modern Language Association (MLA)
Barbarossa, M. V.…[et al.]. Temporal Evolution of Immunity Distributions in a Population with Waning and Boosting. Complexity No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1136626
American Medical Association (AMA)
Barbarossa, M. V.& Polner, M.& Röst, Gergely. Temporal Evolution of Immunity Distributions in a Population with Waning and Boosting. Complexity. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1136626
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1136626