Analysis and Optimal Control Intervention Strategies of a Waterborne Disease Model: A Realistic Case Study
Joint Authors
Collins, Obiora Cornelius
Duffy, Kevin Jan
Source
Journal of Applied Mathematics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-21
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A mathematical model is formulated that captures the essential dynamics of waterborne disease transmission under the assumption of a homogeneously mixed population.
The important mathematical features of the model are determined and analysed.
The model is extended by introducing control intervention strategies such as vaccination, treatment, and water purification.
Mathematical analyses of the control model are used to determine the possible benefits of these control intervention strategies.
Optimal control theory is utilized to determine how to reduce the spread of a disease with minimum cost.
The model is validated using a cholera outbreak in Haiti.
American Psychological Association (APA)
Collins, Obiora Cornelius& Duffy, Kevin Jan. 2018. Analysis and Optimal Control Intervention Strategies of a Waterborne Disease Model: A Realistic Case Study. Journal of Applied Mathematics،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1175974
Modern Language Association (MLA)
Collins, Obiora Cornelius& Duffy, Kevin Jan. Analysis and Optimal Control Intervention Strategies of a Waterborne Disease Model: A Realistic Case Study. Journal of Applied Mathematics No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1175974
American Medical Association (AMA)
Collins, Obiora Cornelius& Duffy, Kevin Jan. Analysis and Optimal Control Intervention Strategies of a Waterborne Disease Model: A Realistic Case Study. Journal of Applied Mathematics. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1175974
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1175974