Optimal Control of a Model of Gambiense Sleeping Sickness in Humans and Cattle

Ndondo Mboma Apollinaire; Walo Omana Rebecca; Maurice Yengo Vala-ki-sisa

doi:doi:10.11648/j.ajam.20160405.12

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Optimal Control of a Model of Gambiense Sleeping Sickness in Humans and Cattle

Ndondo Mboma Apollinaire, Walo Omana Rebecca, Maurice Yengo Vala-ki-sisa

Published in American Journal of Applied Mathematics (Volume 4, Issue 5)

Received: 5 July 2016 Accepted: 18 July 2016 Published: 31 August 2016

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Abstract

Human African trypanosomiasis (HAT) generally known as sleeping sickness is a fatal parasitic disease which appears mostly in sub-Saharan Africa, threatening millions of people and animals. Sleep disorders are a major feature of the (most) advanced stage of the disease, when the central nervous system is affected. In the absence of treatment, the outcome is always fatal. The parasite is transmitted to humans or animals through the bite of a tsetse fly previously infected by humans or animals carrying the parasite. We look for different scenarios to control the epidemic by integrating in our model terms that model the different control techniques.

Published in	American Journal of Applied Mathematics (Volume 4, Issue 5)
DOI	10.11648/j.ajam.20160405.12
Page(s)	204-216
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Trypanosoma Brucei Gambiense, Sleeping Sickness, Glossina, Optimization, Control, Modeling, Optimal Control

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APA Style

Ndondo Mboma Apollinaire, Walo Omana Rebecca, Maurice Yengo Vala-ki-sisa. (2016). Optimal Control of a Model of Gambiense Sleeping Sickness in Humans and Cattle. American Journal of Applied Mathematics, 4(5), 204-216. https://doi.org/10.11648/j.ajam.20160405.12

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ACS Style

Ndondo Mboma Apollinaire; Walo Omana Rebecca; Maurice Yengo Vala-ki-sisa. Optimal Control of a Model of Gambiense Sleeping Sickness in Humans and Cattle. Am. J. Appl. Math. 2016, 4(5), 204-216. doi: 10.11648/j.ajam.20160405.12

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AMA Style

Ndondo Mboma Apollinaire, Walo Omana Rebecca, Maurice Yengo Vala-ki-sisa. Optimal Control of a Model of Gambiense Sleeping Sickness in Humans and Cattle. Am J Appl Math. 2016;4(5):204-216. doi: 10.11648/j.ajam.20160405.12

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@article{10.11648/j.ajam.20160405.12,
  author = {Ndondo Mboma Apollinaire and Walo Omana Rebecca and Maurice Yengo Vala-ki-sisa},
  title = {Optimal Control of a Model of Gambiense Sleeping Sickness in Humans and Cattle},
  journal = {American Journal of Applied Mathematics},
  volume = {4},
  number = {5},
  pages = {204-216},
  doi = {10.11648/j.ajam.20160405.12},
  url = {https://doi.org/10.11648/j.ajam.20160405.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20160405.12},
  abstract = {Human African trypanosomiasis (HAT) generally known as sleeping sickness is a fatal parasitic disease which appears mostly in sub-Saharan Africa, threatening millions of people and animals. Sleep disorders are a major feature of the (most) advanced stage of the disease, when the central nervous system is affected. In the absence of treatment, the outcome is always fatal. The parasite is transmitted to humans or animals through the bite of a tsetse fly previously infected by humans or animals carrying the parasite. We look for different scenarios to control the epidemic by integrating in our model terms that model the different control techniques.},
 year = {2016}
}

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TY  - JOUR
T1  - Optimal Control of a Model of Gambiense Sleeping Sickness in Humans and Cattle
AU  - Ndondo Mboma Apollinaire
AU  - Walo Omana Rebecca
AU  - Maurice Yengo Vala-ki-sisa
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N1  - https://doi.org/10.11648/j.ajam.20160405.12
DO  - 10.11648/j.ajam.20160405.12
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 204
EP  - 216
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20160405.12
AB  - Human African trypanosomiasis (HAT) generally known as sleeping sickness is a fatal parasitic disease which appears mostly in sub-Saharan Africa, threatening millions of people and animals. Sleep disorders are a major feature of the (most) advanced stage of the disease, when the central nervous system is affected. In the absence of treatment, the outcome is always fatal. The parasite is transmitted to humans or animals through the bite of a tsetse fly previously infected by humans or animals carrying the parasite. We look for different scenarios to control the epidemic by integrating in our model terms that model the different control techniques.
VL  - 4
IS  - 5
ER  -

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Author Information

Ndondo Mboma Apollinaire

Faculty of Sciences, Regional Center for Doctoral Education in Mathematics and Computer Science, University of Kinshasa, Kinshasa, D. R. Congo
Walo Omana Rebecca

Faculty of Sciences, Regional Center for Doctoral Education in Mathematics and Computer Science, University of Kinshasa, Kinshasa, D. R. Congo
Maurice Yengo Vala-ki-sisa

Faculty of Sciences, Department of Mathematics and Computer Science, University of Kinshasa, Kinshasa, D. R. Congo

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APA Style

Ndondo Mboma Apollinaire, Walo Omana Rebecca, Maurice Yengo Vala-ki-sisa. (2016). Optimal Control of a Model of Gambiense Sleeping Sickness in Humans and Cattle. American Journal of Applied Mathematics, 4(5), 204-216. https://doi.org/10.11648/j.ajam.20160405.12

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ACS Style

Ndondo Mboma Apollinaire; Walo Omana Rebecca; Maurice Yengo Vala-ki-sisa. Optimal Control of a Model of Gambiense Sleeping Sickness in Humans and Cattle. Am. J. Appl. Math. 2016, 4(5), 204-216. doi: 10.11648/j.ajam.20160405.12

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AMA Style

Ndondo Mboma Apollinaire, Walo Omana Rebecca, Maurice Yengo Vala-ki-sisa. Optimal Control of a Model of Gambiense Sleeping Sickness in Humans and Cattle. Am J Appl Math. 2016;4(5):204-216. doi: 10.11648/j.ajam.20160405.12

Copy | Download

@article{10.11648/j.ajam.20160405.12,
  author = {Ndondo Mboma Apollinaire and Walo Omana Rebecca and Maurice Yengo Vala-ki-sisa},
  title = {Optimal Control of a Model of Gambiense Sleeping Sickness in Humans and Cattle},
  journal = {American Journal of Applied Mathematics},
  volume = {4},
  number = {5},
  pages = {204-216},
  doi = {10.11648/j.ajam.20160405.12},
  url = {https://doi.org/10.11648/j.ajam.20160405.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20160405.12},
  abstract = {Human African trypanosomiasis (HAT) generally known as sleeping sickness is a fatal parasitic disease which appears mostly in sub-Saharan Africa, threatening millions of people and animals. Sleep disorders are a major feature of the (most) advanced stage of the disease, when the central nervous system is affected. In the absence of treatment, the outcome is always fatal. The parasite is transmitted to humans or animals through the bite of a tsetse fly previously infected by humans or animals carrying the parasite. We look for different scenarios to control the epidemic by integrating in our model terms that model the different control techniques.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Optimal Control of a Model of Gambiense Sleeping Sickness in Humans and Cattle
AU  - Ndondo Mboma Apollinaire
AU  - Walo Omana Rebecca
AU  - Maurice Yengo Vala-ki-sisa
Y1  - 2016/08/31
PY  - 2016
N1  - https://doi.org/10.11648/j.ajam.20160405.12
DO  - 10.11648/j.ajam.20160405.12
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 204
EP  - 216
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20160405.12
AB  - Human African trypanosomiasis (HAT) generally known as sleeping sickness is a fatal parasitic disease which appears mostly in sub-Saharan Africa, threatening millions of people and animals. Sleep disorders are a major feature of the (most) advanced stage of the disease, when the central nervous system is affected. In the absence of treatment, the outcome is always fatal. The parasite is transmitted to humans or animals through the bite of a tsetse fly previously infected by humans or animals carrying the parasite. We look for different scenarios to control the epidemic by integrating in our model terms that model the different control techniques.
VL  - 4
IS  - 5
ER  -

Copy | Download