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Mathematical Model of Three Age-Structured Transmission Dynamics of Chikungunya Virus
Joint Authors
Agusto, F. B.
Easley, Shamise
Freeman, Kenneth
Thomas, Madison
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-31, 31 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-04-05
Country of Publication
Egypt
No. of Pages
31
Main Subjects
Abstract EN
We developed a new age-structured deterministic model for the transmission dynamics of chikungunya virus.
The model is analyzed to gain insights into the qualitative features of its associated equilibria.
Some of the theoretical and epidemiological findings indicate that the stable disease-free equilibrium is globally asymptotically stable when the associated reproduction number is less than unity.
Furthermore, the model undergoes, in the presence of disease induced mortality, the phenomenon of backward bifurcation, where the stable disease-free equilibrium of the model coexists with a stable endemic equilibrium when the associated reproduction number is less than unity.
Further analysis of the model indicates that the qualitative dynamics of the model are not altered by the inclusion of age structure.
This is further emphasized by the sensitivity analysis results, which shows that the dominant parameters of the model are not altered by the inclusion of age structure.
However, the numerical simulations show the flaw of the exclusion of age in the transmission dynamics of chikungunya with regard to control implementations.
The exclusion of age structure fails to show the age distribution needed for an effective age based control strategy, leading to a one size fits all blanket control for the entire population.
American Psychological Association (APA)
Agusto, F. B.& Easley, Shamise& Freeman, Kenneth& Thomas, Madison. 2016. Mathematical Model of Three Age-Structured Transmission Dynamics of Chikungunya Virus. Computational and Mathematical Methods in Medicine،Vol. 2016, no. 2016, pp.1-31.
https://search.emarefa.net/detail/BIM-1100129
Modern Language Association (MLA)
Agusto, F. B.…[et al.]. Mathematical Model of Three Age-Structured Transmission Dynamics of Chikungunya Virus. Computational and Mathematical Methods in Medicine No. 2016 (2016), pp.1-31.
https://search.emarefa.net/detail/BIM-1100129
American Medical Association (AMA)
Agusto, F. B.& Easley, Shamise& Freeman, Kenneth& Thomas, Madison. Mathematical Model of Three Age-Structured Transmission Dynamics of Chikungunya Virus. Computational and Mathematical Methods in Medicine. 2016. Vol. 2016, no. 2016, pp.1-31.
https://search.emarefa.net/detail/BIM-1100129
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1100129