A Caputo-Fabrizio fractional-order cholera model and its sensitivity analysis

Idris Ahmed; Ali Akgül; Fahd Jarad; Poom Kumam; Kamsing Nonlaopon

doi:10.53391/mmnsa.1293162

EN

A Caputo-Fabrizio fractional-order cholera model and its sensitivity analysis

Abstract

In recent years, the availability of advanced computational techniques has led to a growing emphasis on fractional-order derivatives. This development has enabled researchers to explore the intricate dynamics of various biological models by employing fractional-order derivatives instead of traditional integer-order derivatives. This paper proposes a Caputo-Fabrizio fractional-order cholera epidemic model. Fixed-point theorems are utilized to investigate the existence and uniqueness of solutions. A recent and effective numerical scheme is employed to demonstrate the model's complex behaviors and highlight the advantages of fractional-order derivatives. Additionally, a sensitivity analysis is conducted to identify the most influential parameters.

Keywords

Cholera, mathematical model, fixed point theorems, sensitivity analysis, numerical simulations

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Details

Primary Language

English

Subjects

Bioinformatics and Computational Biology, Biological Mathematics

Journal Section

Research Article

Authors

Idris Ahmed ^*
0000-0003-0901-1673
Nigeria

Ali Akgül
0000-0001-9832-1424
Türkiye

Fahd Jarad
0000-0002-3303-0623
Türkiye

Poom Kumam
0000-0002-5463-4581
Thailand

Kamsing Nonlaopon
0000-0002-7469-5402
Thailand

Early Pub Date

June 30, 2023

Publication Date

June 30, 2023

Submission Date

May 5, 2023

Acceptance Date

June 30, 2023

Published in Issue

Year 2023 Volume: 3 Number: 2

DOI

https://doi.org/10.53391/mmnsa.1293162

IZ

https://izlik.org/JA36BB29NP

APA

Ahmed, I., Akgül, A., Jarad, F., Kumam, P., & Nonlaopon, K. (2023). A Caputo-Fabrizio fractional-order cholera model and its sensitivity analysis. Mathematical Modelling and Numerical Simulation With Applications, 3(2), 170-187. https://doi.org/10.53391/mmnsa.1293162

AMA

1.Ahmed I, Akgül A, Jarad F, Kumam P, Nonlaopon K. A Caputo-Fabrizio fractional-order cholera model and its sensitivity analysis. MMNSA. 2023;3(2):170-187. doi:10.53391/mmnsa.1293162

Chicago

Ahmed, Idris, Ali Akgül, Fahd Jarad, Poom Kumam, and Kamsing Nonlaopon. 2023. “A Caputo-Fabrizio Fractional-Order Cholera Model and Its Sensitivity Analysis”. Mathematical Modelling and Numerical Simulation With Applications 3 (2): 170-87. https://doi.org/10.53391/mmnsa.1293162.

EndNote

Ahmed I, Akgül A, Jarad F, Kumam P, Nonlaopon K (June 1, 2023) A Caputo-Fabrizio fractional-order cholera model and its sensitivity analysis. Mathematical Modelling and Numerical Simulation with Applications 3 2 170–187.

IEEE

[1]I. Ahmed, A. Akgül, F. Jarad, P. Kumam, and K. Nonlaopon, “A Caputo-Fabrizio fractional-order cholera model and its sensitivity analysis”, MMNSA, vol. 3, no. 2, pp. 170–187, June 2023, doi: 10.53391/mmnsa.1293162.

ISNAD

Ahmed, Idris - Akgül, Ali - Jarad, Fahd - Kumam, Poom - Nonlaopon, Kamsing. “A Caputo-Fabrizio Fractional-Order Cholera Model and Its Sensitivity Analysis”. Mathematical Modelling and Numerical Simulation with Applications 3/2 (June 1, 2023): 170-187. https://doi.org/10.53391/mmnsa.1293162.

JAMA

1.Ahmed I, Akgül A, Jarad F, Kumam P, Nonlaopon K. A Caputo-Fabrizio fractional-order cholera model and its sensitivity analysis. MMNSA. 2023;3:170–187.

MLA

Ahmed, Idris, et al. “A Caputo-Fabrizio Fractional-Order Cholera Model and Its Sensitivity Analysis”. Mathematical Modelling and Numerical Simulation With Applications, vol. 3, no. 2, June 2023, pp. 170-87, doi:10.53391/mmnsa.1293162.

Vancouver

1.Idris Ahmed, Ali Akgül, Fahd Jarad, Poom Kumam, Kamsing Nonlaopon. A Caputo-Fabrizio fractional-order cholera model and its sensitivity analysis. MMNSA. 2023 Jun. 1;3(2):170-87. doi:10.53391/mmnsa.1293162

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A Caputo-Fabrizio fractional-order cholera model and its sensitivity analysis

Abstract

A Caputo-Fabrizio fractional-order cholera model and its sensitivity analysis

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Early Pub Date

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

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