Existence and Numerical Investigation of Monkey-Pox Mathematical Model by Natural Adomain Decomposition Method

Imtiazur Rahman; Amjad Ali; Furqan Habib

doi:doi:10.11648/j.mma.20240903.11

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Existence and Numerical Investigation of Monkey-Pox Mathematical Model by Natural Adomain Decomposition Method

Imtiazur Rahman^*

, Amjad Ali

, Furqan Habib

Published in Mathematical Modelling and Applications (Volume 9, Issue 3)

Received: 29 March 2024 Accepted: 10 August 2024 Published: 22 August 2024

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Abstract

In this paper, studied the mathematical model concerning the transmission of Monkey-Pox disease. A class viral disease that mostly occurs in west and central Africa, transmitted from animals into human is belonging to the Small-pox family known is Monkey-pox infections disease. According to the scientist the primary best of the proposed disease is still in doubt. The proposed model will be investigate for the purpose of both qualitative and numerical solutions. At the early stage of this study, investigate the existence of proposed model. In this connection, the authors developed the desired condition of existence and stability for consider model by using the tools of analysis. At the second phase of this research work,the author investigated the numerical solutions for the consider Monkey-pox transmission diseases model. For numerical investigation, the authors use the tool of well know semi-analytical techniques known as Natural Transform coupled with Adomain Decomposition Method. The consider techniques are powerful tools for of obtaining approximate solutions of differential equation or system of differential equations. The proposed techniques base on recursive scheme for solutions of system of differential equations. For the authenticity and accuracy of obtain solutions, the obtain solutions are visualized graphically to desired the dynamical behavior of desired results with the help of Mathematica. That show the proposed method is best tools for solution of differential equations.

Published in	Mathematical Modelling and Applications (Volume 9, Issue 3)
DOI	10.11648/j.mma.20240903.11
Page(s)	43-60
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

Monkey-pox, Natural Transform, Adomain Decomposition Method

References

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APA Style

Rahman, I., Ali, A., Habib, F. (2024). Existence and Numerical Investigation of Monkey-Pox Mathematical Model by Natural Adomain Decomposition Method. Mathematical Modelling and Applications, 9(3), 43-60. https://doi.org/10.11648/j.mma.20240903.11

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ACS Style

Rahman, I.; Ali, A.; Habib, F. Existence and Numerical Investigation of Monkey-Pox Mathematical Model by Natural Adomain Decomposition Method. Math. Model. Appl. 2024, 9(3), 43-60. doi: 10.11648/j.mma.20240903.11

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AMA Style

Rahman I, Ali A, Habib F. Existence and Numerical Investigation of Monkey-Pox Mathematical Model by Natural Adomain Decomposition Method. Math Model Appl. 2024;9(3):43-60. doi: 10.11648/j.mma.20240903.11

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@article{10.11648/j.mma.20240903.11,
  author = {Imtiazur Rahman and Amjad Ali and Furqan Habib},
  title = {Existence and Numerical Investigation of Monkey-Pox Mathematical Model by Natural Adomain Decomposition Method},
  journal = {Mathematical Modelling and Applications},
  volume = {9},
  number = {3},
  pages = {43-60},
  doi = {10.11648/j.mma.20240903.11},
  url = {https://doi.org/10.11648/j.mma.20240903.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mma.20240903.11},
  abstract = {In this paper, studied the mathematical model concerning the transmission of Monkey-Pox disease. A class viral disease that mostly occurs in west and central Africa, transmitted from animals into human is belonging to the Small-pox family known is Monkey-pox infections disease. According to the scientist the primary best of the proposed disease is still in doubt. The proposed model will be investigate for the purpose of both qualitative and numerical solutions. At the early stage of this study, investigate the existence of proposed model. In this connection, the authors developed the desired condition of existence and stability for consider model by using the tools of analysis. At the second phase of this research work,the author investigated the numerical solutions for the consider Monkey-pox transmission diseases model. For numerical investigation, the authors use the tool of well know semi-analytical techniques known as Natural Transform coupled with Adomain Decomposition Method. The consider techniques are powerful tools for of obtaining approximate solutions of differential equation or system of differential equations. The proposed techniques base on recursive scheme for solutions of system of differential equations. For the authenticity and accuracy of obtain solutions, the obtain solutions are visualized graphically to desired the dynamical behavior of desired results with the help of Mathematica. That show the proposed method is best tools for solution of differential equations.},
 year = {2024}
}

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TY - JOUR
T1 - Existence and Numerical Investigation of Monkey-Pox Mathematical Model by Natural Adomain Decomposition Method
AU - Imtiazur Rahman
AU - Amjad Ali
AU - Furqan Habib
Y1 - 2024/08/22
PY - 2024
N1 - https://doi.org/10.11648/j.mma.20240903.11
DO - 10.11648/j.mma.20240903.11
T2 - Mathematical Modelling and Applications
JF - Mathematical Modelling and Applications
JO - Mathematical Modelling and Applications
SP - 43
EP - 60
PB - Science Publishing Group
SN - 2575-1794
UR - https://doi.org/10.11648/j.mma.20240903.11
AB - In this paper, studied the mathematical model concerning the transmission of Monkey-Pox disease. A class viral disease that mostly occurs in west and central Africa, transmitted from animals into human is belonging to the Small-pox family known is Monkey-pox infections disease. According to the scientist the primary best of the proposed disease is still in doubt. The proposed model will be investigate for the purpose of both qualitative and numerical solutions. At the early stage of this study, investigate the existence of proposed model. In this connection, the authors developed the desired condition of existence and stability for consider model by using the tools of analysis. At the second phase of this research work,the author investigated the numerical solutions for the consider Monkey-pox transmission diseases model. For numerical investigation, the authors use the tool of well know semi-analytical techniques known as Natural Transform coupled with Adomain Decomposition Method. The consider techniques are powerful tools for of obtaining approximate solutions of differential equation or system of differential equations. The proposed techniques base on recursive scheme for solutions of system of differential equations. For the authenticity and accuracy of obtain solutions, the obtain solutions are visualized graphically to desired the dynamical behavior of desired results with the help of Mathematica. That show the proposed method is best tools for solution of differential equations.
VL - 9
IS - 3
ER -

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Author Information

Imtiazur Rahman

Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan

Contact Email

http://orcid.org/0009-0009-8723-9308
Amjad Ali

Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan

Contact Email

http://orcid.org/0000-0001-9524-9471
Furqan Habib

Department of Mathematics, University of Peshawar, Khyber Pakhtunkhwa, Pakistan

Contact Email

http://orcid.org/0000-0002-0745-5476

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Plain Text BibTeX RIS

APA Style

Rahman, I., Ali, A., Habib, F. (2024). Existence and Numerical Investigation of Monkey-Pox Mathematical Model by Natural Adomain Decomposition Method. Mathematical Modelling and Applications, 9(3), 43-60. https://doi.org/10.11648/j.mma.20240903.11

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ACS Style

Rahman, I.; Ali, A.; Habib, F. Existence and Numerical Investigation of Monkey-Pox Mathematical Model by Natural Adomain Decomposition Method. Math. Model. Appl. 2024, 9(3), 43-60. doi: 10.11648/j.mma.20240903.11

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AMA Style

Rahman I, Ali A, Habib F. Existence and Numerical Investigation of Monkey-Pox Mathematical Model by Natural Adomain Decomposition Method. Math Model Appl. 2024;9(3):43-60. doi: 10.11648/j.mma.20240903.11

Copy | Download

@article{10.11648/j.mma.20240903.11,
  author = {Imtiazur Rahman and Amjad Ali and Furqan Habib},
  title = {Existence and Numerical Investigation of Monkey-Pox Mathematical Model by Natural Adomain Decomposition Method},
  journal = {Mathematical Modelling and Applications},
  volume = {9},
  number = {3},
  pages = {43-60},
  doi = {10.11648/j.mma.20240903.11},
  url = {https://doi.org/10.11648/j.mma.20240903.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mma.20240903.11},
  abstract = {In this paper, studied the mathematical model concerning the transmission of Monkey-Pox disease. A class viral disease that mostly occurs in west and central Africa, transmitted from animals into human is belonging to the Small-pox family known is Monkey-pox infections disease. According to the scientist the primary best of the proposed disease is still in doubt. The proposed model will be investigate for the purpose of both qualitative and numerical solutions. At the early stage of this study, investigate the existence of proposed model. In this connection, the authors developed the desired condition of existence and stability for consider model by using the tools of analysis. At the second phase of this research work,the author investigated the numerical solutions for the consider Monkey-pox transmission diseases model. For numerical investigation, the authors use the tool of well know semi-analytical techniques known as Natural Transform coupled with Adomain Decomposition Method. The consider techniques are powerful tools for of obtaining approximate solutions of differential equation or system of differential equations. The proposed techniques base on recursive scheme for solutions of system of differential equations. For the authenticity and accuracy of obtain solutions, the obtain solutions are visualized graphically to desired the dynamical behavior of desired results with the help of Mathematica. That show the proposed method is best tools for solution of differential equations.},
 year = {2024}
}

Copy | Download