Modeling the Dynamics of an Epidemic under Vaccination in Two Interacting Populations
Joint Authors
Ahmed, Ibrahim H. I.
Patidar, Kailash
Witbooi, Peter J.
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-04
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We present a model for an SIR epidemic in a population consisting of two components—locals and migrants.
We identify three equilibrium points and we analyse the stability of the disease free equilibrium.
Then we apply optimal control theory to find an optimal vaccination strategy for this 2-group population in a very simple form.
Finally we support our analysis by numerical simulation using the fourth order Runge-Kutta method.
American Psychological Association (APA)
Ahmed, Ibrahim H. I.& Witbooi, Peter J.& Patidar, Kailash. 2012. Modeling the Dynamics of an Epidemic under Vaccination in Two Interacting Populations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1028799
Modern Language Association (MLA)
Ahmed, Ibrahim H. I.…[et al.]. Modeling the Dynamics of an Epidemic under Vaccination in Two Interacting Populations. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-1028799
American Medical Association (AMA)
Ahmed, Ibrahim H. I.& Witbooi, Peter J.& Patidar, Kailash. Modeling the Dynamics of an Epidemic under Vaccination in Two Interacting Populations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1028799
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028799
