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Dynamics of Single-City Influenza with Seasonal Forcing : From Regularity to Chaos
Joint Authors
Thornley, John H. M.
France, James
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-29
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
Seasonal and epidemic influenza continue to cause concern, reinforced by connections between human and avian influenza, and H1N1 swine influenza.
Models summarize ideas about disease mechanisms, help understand contributions of different processes, and explore interventions.
A compartment model of single-city influenza is developed.
It is mechanism-based on lower-level studies, rather than focussing on predictions.
It is deterministic, without non-disease-status stratification.
Categories represented are susceptible, infected, sick, hospitalized, asymptomatic, dead from flu, recovered, and one in which recovered individuals lose immunity.
Most categories are represented with sequential pools with first-order kinetics, giving gamma-function progressions with realistic dynamics.
A virus compartment allows representation of environmental effects on virus lifetime, thence affecting reproductive ratio.
The model's behaviour is explored.
It is validated without significant tuning against data on a school outbreak.
Seasonal forcing causes a variety of regular and chaotic behaviours, some being typical of seasonal and epidemic flu.
It is suggested that models use sequential stages for appropriate disease categories because this is biologically realistic, and authentic dynamics is required if predictions are to be credible.
Seasonality is important indicating that control measures might usefully take account of expected weather.
American Psychological Association (APA)
Thornley, John H. M.& France, James. 2012. Dynamics of Single-City Influenza with Seasonal Forcing : From Regularity to Chaos. ISRN Biomathematics،Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-474156
Modern Language Association (MLA)
Thornley, John H. M.& France, James. Dynamics of Single-City Influenza with Seasonal Forcing : From Regularity to Chaos. ISRN Biomathematics No. 2012 (2012), pp.1-23.
https://search.emarefa.net/detail/BIM-474156
American Medical Association (AMA)
Thornley, John H. M.& France, James. Dynamics of Single-City Influenza with Seasonal Forcing : From Regularity to Chaos. ISRN Biomathematics. 2012. Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-474156
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474156