The modeling and mathematical analysis of the fractional-order of Cholera disease: Dynamical and Simulation

Rasha M. Yaseen; Nidal F. Ali; Ahmed A. Mohsen; Aziz Khan; Thabet Abdeljawad

doi:10.1016/j.padiff.2024.100978

The modeling and mathematical analysis of the fractional-order of Cholera disease: Dynamical and Simulation

Rasha M. Yaseen, Nidal F. Ali, Ahmed A. Mohsen^*, Aziz Khan, Thabet Abdeljawad

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this study, a cholera model with asymptomatic carriers was examined. A Holling type-II functional response function was used to describe disease transmission. For analyzing the dynamical behavior of cholera disease, a fractional-order model was developed. First, the positivity and boundedness of the system's solutions were established. The local stability of the equilibrium points was also analyzed. Second, a Lyapunov function was used to construct the global asymptotic stability of the system for both endemic and disease-free equilibrium points. Finally, numerical simulations and sensitivity analysis were carried out using matlab software to demonstrate the accuracy and validate the obtained results.

Original language	English
Article number	100978
Journal	Partial Differential Equations in Applied Mathematics
Volume	12
DOIs	https://doi.org/10.1016/j.padiff.2024.100978
Publication status	Published - Dec 2024
Externally published	Yes

Keywords

Cholera model
Fractional-order
Sensitive analysis
Stability analysis

UN SDGs

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

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10.1016/j.padiff.2024.100978

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title = "The modeling and mathematical analysis of the fractional-order of Cholera disease: Dynamical and Simulation",

abstract = "In this study, a cholera model with asymptomatic carriers was examined. A Holling type-II functional response function was used to describe disease transmission. For analyzing the dynamical behavior of cholera disease, a fractional-order model was developed. First, the positivity and boundedness of the system's solutions were established. The local stability of the equilibrium points was also analyzed. Second, a Lyapunov function was used to construct the global asymptotic stability of the system for both endemic and disease-free equilibrium points. Finally, numerical simulations and sensitivity analysis were carried out using matlab software to demonstrate the accuracy and validate the obtained results.",

keywords = "Cholera model, Fractional-order, Sensitive analysis, Stability analysis",

author = "Yaseen, {Rasha M.} and Ali, {Nidal F.} and Mohsen, {Ahmed A.} and Aziz Khan and Thabet Abdeljawad",

note = "Publisher Copyright: {\textcopyright} 2024 The Authors",

year = "2024",

month = dec,

doi = "10.1016/j.padiff.2024.100978",

language = "English",

volume = "12",

journal = "Partial Differential Equations in Applied Mathematics",

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T1 - The modeling and mathematical analysis of the fractional-order of Cholera disease

T2 - Dynamical and Simulation

AU - Yaseen, Rasha M.

AU - Ali, Nidal F.

AU - Mohsen, Ahmed A.

AU - Khan, Aziz

AU - Abdeljawad, Thabet

PY - 2024/12

Y1 - 2024/12

N2 - In this study, a cholera model with asymptomatic carriers was examined. A Holling type-II functional response function was used to describe disease transmission. For analyzing the dynamical behavior of cholera disease, a fractional-order model was developed. First, the positivity and boundedness of the system's solutions were established. The local stability of the equilibrium points was also analyzed. Second, a Lyapunov function was used to construct the global asymptotic stability of the system for both endemic and disease-free equilibrium points. Finally, numerical simulations and sensitivity analysis were carried out using matlab software to demonstrate the accuracy and validate the obtained results.

AB - In this study, a cholera model with asymptomatic carriers was examined. A Holling type-II functional response function was used to describe disease transmission. For analyzing the dynamical behavior of cholera disease, a fractional-order model was developed. First, the positivity and boundedness of the system's solutions were established. The local stability of the equilibrium points was also analyzed. Second, a Lyapunov function was used to construct the global asymptotic stability of the system for both endemic and disease-free equilibrium points. Finally, numerical simulations and sensitivity analysis were carried out using matlab software to demonstrate the accuracy and validate the obtained results.

KW - Cholera model

KW - Fractional-order

KW - Sensitive analysis

KW - Stability analysis

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DO - 10.1016/j.padiff.2024.100978

M3 - Article

AN - SCOPUS:85208761079

SN - 2666-8181

VL - 12

JO - Partial Differential Equations in Applied Mathematics

JF - Partial Differential Equations in Applied Mathematics

M1 - 100978

ER -

The modeling and mathematical analysis of the fractional-order of Cholera disease: Dynamical and Simulation

Abstract

Keywords

UN SDGs

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