Mathematical Model of Three Age-Structured Transmission Dynamics of Chikungunya Virus
dc.contributor.author | Agusto, Folashade B. | |
dc.contributor.author | Easley, Shamise | |
dc.contributor.author | Freeman, Kenneth | |
dc.contributor.author | Thomas, Madison | |
dc.date.accessioned | 2017-09-15T20:30:20Z | |
dc.date.available | 2017-09-15T20:30:20Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Folashade B. Agusto, Shamise Easley, Kenneth Freeman, and Madison Thomas, “Mathematical Model of Three Age-Structured Transmission Dynamics of Chikungunya Virus,” Computational and Mathematical Methods in Medicine, vol. 2016, Article ID 4320514, 31 pages, 2016. doi:10.1155/2016/4320514 | en_US |
dc.identifier.uri | http://hdl.handle.net/1808/24968 | |
dc.description.abstract | 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. | en_US |
dc.publisher | Hindawi Publishing Corporation | en_US |
dc.rights | Copyright © 2016 Folashade B. Agusto et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | en_US |
dc.title | Mathematical Model of Three Age-Structured Transmission Dynamics of Chikungunya Virus | en_US |
dc.type | Article | en_US |
kusw.kuauthor | Agusto, Folashade B. | |
kusw.kudepartment | Ecology and Evolutionary Biology | en_US |
dc.identifier.doi | 10.1155/2016/4320514 | en_US |
kusw.oaversion | Scholarly/refereed, publisher version | en_US |
kusw.oapolicy | This item meets KU Open Access policy criteria. | en_US |
dc.rights.accessrights | openAccess |
Files in this item
This item appears in the following Collection(s)
Except where otherwise noted, this item's license is described as: Copyright © 2016 Folashade B. Agusto et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.