American Journal of Applied Mathematics

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

Received: 05 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.

DOI 10.11648/j.ajam.20160405.12
Published in American Journal of Applied Mathematics (Volume 4, Issue 5, October 2016)
Page(s) 204-216
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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), 2024. Published by Science Publishing Group

Keywords

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

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Author Information
  • Faculty of Sciences, Regional Center for Doctoral Education in Mathematics and Computer Science, University of Kinshasa, Kinshasa, D. R. Congo

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

  • 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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    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://download.sciencepg.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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    AU  - Walo Omana Rebecca
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    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
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    ER  - 

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