Solving Fractional-Order Monkeypox Model by New Numircal Methods

Iqbal M. Batiha; Shameseddin Alshorm; Manal Almuzini

doi:10.1007/978-981-97-4876-1_38

Solving Fractional-Order Monkeypox Model by New Numircal Methods

Iqbal M. Batiha
, Shameseddin Alshorm
, Manal Almuzini

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan
Universiti Sains Malaysia

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Scopus citations

Abstract

In more recent years, the number of cases of monkeypox illness has progressively risen, and the anticipated geographic scope of outbreaks in human populations have expanded as well. This work suggests a novel fractional-order variant of one of the Susceptible-Exposed-Infectious-Recovered models in light of these factors (or SEIR models). To discover certain theoretical findings about the fundamental reproduction number, this model, which is formulated in the sense of a Caputo fractional differentiator, is first examined. The suggested model is then numerically solved using a fresh, modern variation of the fractional Euler approach known as Improved Modified Fractional Euler Method 1 and 2 (IMFEM1, IMFEM2). For completeness, more numerical simulations are provided after that.

Original language	English
Title of host publication	Mathematical Analysis and Numerical Methods - IACMC 2023
Editors	Aliaa Burqan, Rania Saadeh, Ahmad Qazza, Osama Yusuf Ababneh, Juan C. Cortés, Kai Diethelm, Dia Zeidan
Publisher	Springer
Pages	551-561
Number of pages	11
ISBN (Print)	9789819748754
DOIs	https://doi.org/10.1007/978-981-97-4876-1_38
State	Published - 2024
Event	8th International Arab Conference on Mathematics and Computations, IACMC 2023 - Zarqa, Jordan Duration: 10 May 2023 → 12 May 2023

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	466
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	8th International Arab Conference on Mathematics and Computations, IACMC 2023
Country/Territory	Jordan
City	Zarqa
Period	10/05/23 → 12/05/23

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Caputo fractional-order operator
Monkeypox outbreak
SEIR model

Access to Document

10.1007/978-981-97-4876-1_38

Cite this

Batiha, I. M., Alshorm, S., & Almuzini, M. (2024). Solving Fractional-Order Monkeypox Model by New Numircal Methods. In A. Burqan, R. Saadeh, A. Qazza, O. Y. Ababneh, J. C. Cortés, K. Diethelm, & D. Zeidan (Eds.), Mathematical Analysis and Numerical Methods - IACMC 2023 (pp. 551-561). (Springer Proceedings in Mathematics and Statistics; Vol. 466). Springer. https://doi.org/10.1007/978-981-97-4876-1_38

Batiha, Iqbal M. ; Alshorm, Shameseddin ; Almuzini, Manal. / Solving Fractional-Order Monkeypox Model by New Numircal Methods. Mathematical Analysis and Numerical Methods - IACMC 2023. editor / Aliaa Burqan ; Rania Saadeh ; Ahmad Qazza ; Osama Yusuf Ababneh ; Juan C. Cortés ; Kai Diethelm ; Dia Zeidan. Springer, 2024. pp. 551-561 (Springer Proceedings in Mathematics and Statistics).

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abstract = "In more recent years, the number of cases of monkeypox illness has progressively risen, and the anticipated geographic scope of outbreaks in human populations have expanded as well. This work suggests a novel fractional-order variant of one of the Susceptible-Exposed-Infectious-Recovered models in light of these factors (or SEIR models). To discover certain theoretical findings about the fundamental reproduction number, this model, which is formulated in the sense of a Caputo fractional differentiator, is first examined. The suggested model is then numerically solved using a fresh, modern variation of the fractional Euler approach known as Improved Modified Fractional Euler Method 1 and 2 (IMFEM1, IMFEM2). For completeness, more numerical simulations are provided after that.",

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Batiha, IM, Alshorm, S & Almuzini, M 2024, Solving Fractional-Order Monkeypox Model by New Numircal Methods. in A Burqan, R Saadeh, A Qazza, OY Ababneh, JC Cortés, K Diethelm & D Zeidan (eds), Mathematical Analysis and Numerical Methods - IACMC 2023. Springer Proceedings in Mathematics and Statistics, vol. 466, Springer, pp. 551-561, 8th International Arab Conference on Mathematics and Computations, IACMC 2023, Zarqa, Jordan, 10/05/23. https://doi.org/10.1007/978-981-97-4876-1_38

Solving Fractional-Order Monkeypox Model by New Numircal Methods. / Batiha, Iqbal M.; Alshorm, Shameseddin; Almuzini, Manal.
Mathematical Analysis and Numerical Methods - IACMC 2023. ed. / Aliaa Burqan; Rania Saadeh; Ahmad Qazza; Osama Yusuf Ababneh; Juan C. Cortés; Kai Diethelm; Dia Zeidan. Springer, 2024. p. 551-561 (Springer Proceedings in Mathematics and Statistics; Vol. 466).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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