Optimal Control of a Spatio-Temporal Model for Malaria: Synergy Treatment and Prevention
Joint Authors
Zorom, Malicki
Zongo, Pascal
Barbier, Bruno
Somé, Blaise
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-02
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We propose a metapopulation model for malaria with two control variables, treatment and prevention, distributed between n different patches (localities).
Malaria spreads between these localities through human travel.
We used the theory of optimal control and applied a mathematical model for three connected patches.
From previous studies with the same data, two patches were identified as reservoirs of malaria infection, namely, the patches that sustain malaria epidemic in the other patches.
We argue that to reduce the number of infections and semi-immunes (i.e., asymptomatic carriers of parasites) in overall population, two considerations are needed, (a) For the reservoir patches, we need to apply both treatment and prevention to reduce the number of infections and to reduce the number of semi-immunes; neither the treatment nor prevention were specified at the beginning of the control application, except prevention that seems to be effective at the end.
(b) For unreservoir patches, we should apply the treatment to reduce the number of infections, and the same strategy should be applied to semi-immune as in (a).
American Psychological Association (APA)
Zorom, Malicki& Zongo, Pascal& Barbier, Bruno& Somé, Blaise. 2012. Optimal Control of a Spatio-Temporal Model for Malaria: Synergy Treatment and Prevention. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-993768
Modern Language Association (MLA)
Zorom, Malicki…[et al.]. Optimal Control of a Spatio-Temporal Model for Malaria: Synergy Treatment and Prevention. Journal of Applied Mathematics No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-993768
American Medical Association (AMA)
Zorom, Malicki& Zongo, Pascal& Barbier, Bruno& Somé, Blaise. Optimal Control of a Spatio-Temporal Model for Malaria: Synergy Treatment and Prevention. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-993768
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993768