The Modeling of Chikungunya Using Lagrange Method and Lagrange Method by Matlab

Abdel Radi Abdel Rahman Abdel Gadir; Subhi Abdalazim Aljily; Neama Yahia Mohammed

doi:doi:10.11648/j.ajam.20210901.11

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The Modeling of Chikungunya Using Lagrange Method and Lagrange Method by Matlab

Abdel Radi Abdel Rahman Abdel Gadir, Subhi Abdalazim Aljily, Neama Yahia Mohammed

Published in American Journal of Applied Mathematics (Volume 9, Issue 1)

Received: 26 July 2020 Accepted: 5 December 2020 Published: 12 January 2021

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Abstract

Chikungunya virus (CHIKV) is a mosquito-transmitted alphavirus that causes acute fever and acute and chronic musculoskeletal pain in humans, there is currently no vaccine, cure or specific treatment for Chikungunya. Chikungunya originated in Africa and has since spread across the entire globe causing large numbers of epidemics that have infected millions of people in Asia, Indian subcontinent, Europe, the Americas, and Pacific Islands. Adequate coordinated efforts comprising active surveillance, early detection, vector control and public awareness at local, national and international level need to be adopted in endemic areas for the effective control of Chikungunya virus infection. There is a risk that the virus will be imported to new areas by infected travelers. There is no vaccine to prevent or medicine to treat chikungunya virus infection. Travelers can protect themselves by preventing mosquito bites. The aims of this paper is to study Chikungunya virus and to illustrate the possibility of its modeling by Lagrange method using Matlab. Also we made modeling of results of tests for patients with Chikungunya numerically using Lagrange interpolating method and using Lagrange interpolating method by Matlab which is one of the most famous mathematical programs in the mathematical modeling of mathematical problems. We followed the numerical method and applied mathematical method using Matlab. We found that the modeling using Lagrange interpolating method by Matlab is more accuracy and speed than the numerical method were we explained this fact that we have reached in three figures which proves the aptitude the usage of Matlab in mathematical modeling.

Published in	American Journal of Applied Mathematics (Volume 9, Issue 1) This article belongs to the Special Issue Numerical Analysis and Control Theory
DOI	10.11648/j.ajam.20210901.11
Page(s)	1-9
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), 2024. Published by Science Publishing Group

Keywords

Modeling, Chikungunya, Lagrange Method, Matlab

References

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[2]	Claudio Soto-Garita MSc Candidate, Jean-paul Carrera MSc, Sandra Lopez-verges Phd & Eugenia Corrales-Aguilar Advances in Clinical Diagnosis and Management of Chikungunya Virus infection Neglected Tropical diseases (A Sanchez, Section Editor)Published: 08 May 2018.
[3]	Dr. Margaret Chan, Director-General, World Health Organization, World Health Day 2014 – Vector-borne diseases.
[4]	LF da Rochajr, HD delima, RM Correia, MRDA freitas, PRS de melo, AGL de Mattos, AFR de Olivera, CDL Marques, ALBP Duarte, O Lins, A Ranzolin, SAT0566 Electroneuro graphic findings in patients with subacute/chronic articular symptoms of chikungunya fever and neuropathic complaints – preliminary results, Copyright information:© 2017, Published by the BMJ Publishing Group Limited.
[5]	M. Runowska, D. Majewski, K. Niklas, M. Puszczewicz, Chikungunya virus: a rheumatologist’s perspective, Clinical and Experimental Rheumatology 2018.
[6]	Meghna R. Sebastian, RakeshLodha, and S. K. Kabra, Chikungunya Infection in Children, Indian Journal of Pediatrics, Volume 76—February 2009.
[7]	Md. Tanvir Rahman, Chikungunya virus infection in developing countries - What should we do?, Journal of Advanced Veterinary and Animal Research, ISSN 2311-7710 (Electronic), Vol 4 No 2, Pages 125-131. June 2017.
[8]	Muktha S. Natrajan, Alejandra Rojas, Jesse J. Waggoner, Beyond Fever and Pain: Diagnostic Methods for Chikungunya Virus, Copyright© 2019 American Society for Microbiology.
[9]	Nazish Badar, Muhammad Salman, Jamil Ansari, Uzma Aamir, Muhammad MasroorAlam, Yasir Arshad, NighatMushtaq, Aamer Ikram, Javaria Qazi, Emergence of Chikungunya Virus, Pakistan, 2016–2017, Emerging Infectious Diseases • www.cdc.gov/eid • Vol. 26, No. 2, February 2020.
[10]	Nildimar Alves Honório, Keenan Wiggins, Bradley Eastmond, Experimental Vertical Transmission of Chikungunya Virus by Brazilian and Florida, 2019.
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[13]	Pan American World Health Organization, World Health Organization, 2014.
[14]	Pan American World Health Organization, World Health Organization Information for Health care Providers Chikungunya Fever January 2014 CHICKUNGUNYA.
[15]	Samlee Plianbangchang, M. D., Dr. P. H. Regional Director, Guidelines on Clinical Management of Chikungunya Fever, World Health Organization 2008, Printed in India.
[16]	Sudanese Federal Ministry of Health, October 2018.
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APA Style

Abdel Radi Abdel Rahman Abdel Gadir, Subhi Abdalazim Aljily, Neama Yahia Mohammed. (2021). The Modeling of Chikungunya Using Lagrange Method and Lagrange Method by Matlab. American Journal of Applied Mathematics, 9(1), 1-9. https://doi.org/10.11648/j.ajam.20210901.11

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ACS Style

Abdel Radi Abdel Rahman Abdel Gadir; Subhi Abdalazim Aljily; Neama Yahia Mohammed. The Modeling of Chikungunya Using Lagrange Method and Lagrange Method by Matlab. Am. J. Appl. Math. 2021, 9(1), 1-9. doi: 10.11648/j.ajam.20210901.11

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AMA Style

Abdel Radi Abdel Rahman Abdel Gadir, Subhi Abdalazim Aljily, Neama Yahia Mohammed. The Modeling of Chikungunya Using Lagrange Method and Lagrange Method by Matlab. Am J Appl Math. 2021;9(1):1-9. doi: 10.11648/j.ajam.20210901.11

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@article{10.11648/j.ajam.20210901.11,
  author = {Abdel Radi Abdel Rahman Abdel Gadir and Subhi Abdalazim Aljily and Neama Yahia Mohammed},
  title = {The Modeling of Chikungunya Using Lagrange Method and Lagrange Method by Matlab},
  journal = {American Journal of Applied Mathematics},
  volume = {9},
  number = {1},
  pages = {1-9},
  doi = {10.11648/j.ajam.20210901.11},
  url = {https://doi.org/10.11648/j.ajam.20210901.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20210901.11},
  abstract = {Chikungunya virus (CHIKV) is a mosquito-transmitted alphavirus that causes acute fever and acute and chronic musculoskeletal pain in humans, there is currently no vaccine, cure or specific treatment for Chikungunya. Chikungunya originated in Africa and has since spread across the entire globe causing large numbers of epidemics that have infected millions of people in Asia, Indian subcontinent, Europe, the Americas, and Pacific Islands. Adequate coordinated efforts comprising active surveillance, early detection, vector control and public awareness at local, national and international level need to be adopted in endemic areas for the effective control of Chikungunya virus infection. There is a risk that the virus will be imported to new areas by infected travelers. There is no vaccine to prevent or medicine to treat chikungunya virus infection. Travelers can protect themselves by preventing mosquito bites. The aims of this paper is to study Chikungunya virus and to illustrate the possibility of its modeling by Lagrange method using Matlab. Also we made modeling of results of tests for patients with Chikungunya numerically using Lagrange interpolating method and using Lagrange interpolating method by Matlab which is one of the most famous mathematical programs in the mathematical modeling of mathematical problems. We followed the numerical method and applied mathematical method using Matlab. We found that the modeling using Lagrange interpolating method by Matlab is more accuracy and speed than the numerical method were we explained this fact that we have reached in three figures which proves the aptitude the usage of Matlab in mathematical modeling.},
 year = {2021}
}

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TY  - JOUR
T1  - The Modeling of Chikungunya Using Lagrange Method and Lagrange Method by Matlab
AU  - Abdel Radi Abdel Rahman Abdel Gadir
AU  - Subhi Abdalazim Aljily
AU  - Neama Yahia Mohammed
Y1  - 2021/01/12
PY  - 2021
N1  - https://doi.org/10.11648/j.ajam.20210901.11
DO  - 10.11648/j.ajam.20210901.11
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 1
EP  - 9
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20210901.11
AB  - Chikungunya virus (CHIKV) is a mosquito-transmitted alphavirus that causes acute fever and acute and chronic musculoskeletal pain in humans, there is currently no vaccine, cure or specific treatment for Chikungunya. Chikungunya originated in Africa and has since spread across the entire globe causing large numbers of epidemics that have infected millions of people in Asia, Indian subcontinent, Europe, the Americas, and Pacific Islands. Adequate coordinated efforts comprising active surveillance, early detection, vector control and public awareness at local, national and international level need to be adopted in endemic areas for the effective control of Chikungunya virus infection. There is a risk that the virus will be imported to new areas by infected travelers. There is no vaccine to prevent or medicine to treat chikungunya virus infection. Travelers can protect themselves by preventing mosquito bites. The aims of this paper is to study Chikungunya virus and to illustrate the possibility of its modeling by Lagrange method using Matlab. Also we made modeling of results of tests for patients with Chikungunya numerically using Lagrange interpolating method and using Lagrange interpolating method by Matlab which is one of the most famous mathematical programs in the mathematical modeling of mathematical problems. We followed the numerical method and applied mathematical method using Matlab. We found that the modeling using Lagrange interpolating method by Matlab is more accuracy and speed than the numerical method were we explained this fact that we have reached in three figures which proves the aptitude the usage of Matlab in mathematical modeling.
VL  - 9
IS  - 1
ER  -

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Author Information

Abdel Radi Abdel Rahman Abdel Gadir

Department of Mathematics, Faculty of Education, Omdurman Islamic University, Omdurman, Sudan
Subhi Abdalazim Aljily

Department of Mathematics, Faculty of Education, University of AL Butana, Rufaa, Sudan
Neama Yahia Mohammed

Department of Mathematics, College of Science, Tabuk University, Tabuk, Saudi Arabia

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APA Style

Abdel Radi Abdel Rahman Abdel Gadir, Subhi Abdalazim Aljily, Neama Yahia Mohammed. (2021). The Modeling of Chikungunya Using Lagrange Method and Lagrange Method by Matlab. American Journal of Applied Mathematics, 9(1), 1-9. https://doi.org/10.11648/j.ajam.20210901.11

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ACS Style

Abdel Radi Abdel Rahman Abdel Gadir; Subhi Abdalazim Aljily; Neama Yahia Mohammed. The Modeling of Chikungunya Using Lagrange Method and Lagrange Method by Matlab. Am. J. Appl. Math. 2021, 9(1), 1-9. doi: 10.11648/j.ajam.20210901.11

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AMA Style

Abdel Radi Abdel Rahman Abdel Gadir, Subhi Abdalazim Aljily, Neama Yahia Mohammed. The Modeling of Chikungunya Using Lagrange Method and Lagrange Method by Matlab. Am J Appl Math. 2021;9(1):1-9. doi: 10.11648/j.ajam.20210901.11

Copy | Download

@article{10.11648/j.ajam.20210901.11,
  author = {Abdel Radi Abdel Rahman Abdel Gadir and Subhi Abdalazim Aljily and Neama Yahia Mohammed},
  title = {The Modeling of Chikungunya Using Lagrange Method and Lagrange Method by Matlab},
  journal = {American Journal of Applied Mathematics},
  volume = {9},
  number = {1},
  pages = {1-9},
  doi = {10.11648/j.ajam.20210901.11},
  url = {https://doi.org/10.11648/j.ajam.20210901.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20210901.11},
  abstract = {Chikungunya virus (CHIKV) is a mosquito-transmitted alphavirus that causes acute fever and acute and chronic musculoskeletal pain in humans, there is currently no vaccine, cure or specific treatment for Chikungunya. Chikungunya originated in Africa and has since spread across the entire globe causing large numbers of epidemics that have infected millions of people in Asia, Indian subcontinent, Europe, the Americas, and Pacific Islands. Adequate coordinated efforts comprising active surveillance, early detection, vector control and public awareness at local, national and international level need to be adopted in endemic areas for the effective control of Chikungunya virus infection. There is a risk that the virus will be imported to new areas by infected travelers. There is no vaccine to prevent or medicine to treat chikungunya virus infection. Travelers can protect themselves by preventing mosquito bites. The aims of this paper is to study Chikungunya virus and to illustrate the possibility of its modeling by Lagrange method using Matlab. Also we made modeling of results of tests for patients with Chikungunya numerically using Lagrange interpolating method and using Lagrange interpolating method by Matlab which is one of the most famous mathematical programs in the mathematical modeling of mathematical problems. We followed the numerical method and applied mathematical method using Matlab. We found that the modeling using Lagrange interpolating method by Matlab is more accuracy and speed than the numerical method were we explained this fact that we have reached in three figures which proves the aptitude the usage of Matlab in mathematical modeling.},
 year = {2021}
}

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TY  - JOUR
T1  - The Modeling of Chikungunya Using Lagrange Method and Lagrange Method by Matlab
AU  - Abdel Radi Abdel Rahman Abdel Gadir
AU  - Subhi Abdalazim Aljily
AU  - Neama Yahia Mohammed
Y1  - 2021/01/12
PY  - 2021
N1  - https://doi.org/10.11648/j.ajam.20210901.11
DO  - 10.11648/j.ajam.20210901.11
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 1
EP  - 9
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20210901.11
AB  - Chikungunya virus (CHIKV) is a mosquito-transmitted alphavirus that causes acute fever and acute and chronic musculoskeletal pain in humans, there is currently no vaccine, cure or specific treatment for Chikungunya. Chikungunya originated in Africa and has since spread across the entire globe causing large numbers of epidemics that have infected millions of people in Asia, Indian subcontinent, Europe, the Americas, and Pacific Islands. Adequate coordinated efforts comprising active surveillance, early detection, vector control and public awareness at local, national and international level need to be adopted in endemic areas for the effective control of Chikungunya virus infection. There is a risk that the virus will be imported to new areas by infected travelers. There is no vaccine to prevent or medicine to treat chikungunya virus infection. Travelers can protect themselves by preventing mosquito bites. The aims of this paper is to study Chikungunya virus and to illustrate the possibility of its modeling by Lagrange method using Matlab. Also we made modeling of results of tests for patients with Chikungunya numerically using Lagrange interpolating method and using Lagrange interpolating method by Matlab which is one of the most famous mathematical programs in the mathematical modeling of mathematical problems. We followed the numerical method and applied mathematical method using Matlab. We found that the modeling using Lagrange interpolating method by Matlab is more accuracy and speed than the numerical method were we explained this fact that we have reached in three figures which proves the aptitude the usage of Matlab in mathematical modeling.
VL  - 9
IS  - 1
ER  -

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