Computational and Mathematical Methods to Estimate the Basic Reproduction Number and Final Size for Single-Stage and Multistage Progression Disease Models for Zika with Preventative Measures
Joint Authors
Seshaiyer, Padmanabhan
Padmanabhan, P.
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-15
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We present new mathematical models that include the impact of using selected preventative measures such as insecticide treated nets (ITN) in controlling or ameliorating the spread of the Zika virus.
For these models, we derive the basic reproduction number and sharp estimates for the final size relation.
We first present a single-stage model which is later extended to a new multistage model for Zika that incorporates more realistic incubation stages for both the humans and vectors.
For each of these models, we derive a basic reproduction number and a final size relation estimate.
We observe that the basic reproduction number for the multistage model converges to expected values for a standard Zika epidemic model with fixed incubation periods in both hosts and vectors.
Finally, we also perform several computational experiments to validate the theoretical results obtained in this work and study the influence of various parameters on the models.
American Psychological Association (APA)
Padmanabhan, P.& Seshaiyer, Padmanabhan. 2017. Computational and Mathematical Methods to Estimate the Basic Reproduction Number and Final Size for Single-Stage and Multistage Progression Disease Models for Zika with Preventative Measures. Computational and Mathematical Methods in Medicine،Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1142119
Modern Language Association (MLA)
Padmanabhan, P.& Seshaiyer, Padmanabhan. Computational and Mathematical Methods to Estimate the Basic Reproduction Number and Final Size for Single-Stage and Multistage Progression Disease Models for Zika with Preventative Measures. Computational and Mathematical Methods in Medicine No. 2017 (2017), pp.1-17.
https://search.emarefa.net/detail/BIM-1142119
American Medical Association (AMA)
Padmanabhan, P.& Seshaiyer, Padmanabhan. Computational and Mathematical Methods to Estimate the Basic Reproduction Number and Final Size for Single-Stage and Multistage Progression Disease Models for Zika with Preventative Measures. Computational and Mathematical Methods in Medicine. 2017. Vol. 2017, no. 2017, pp.1-17.
https://search.emarefa.net/detail/BIM-1142119
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142119