On mathematical modeling of fractional-order stochastic for tuberculosis transmission dynamics

C. W. Chukwu; E. Bonyah; M. L. Juga; Fatmawati

doi:10.1016/j.rico.2023.100238

On mathematical modeling of fractional-order stochastic for tuberculosis transmission dynamics

C. W. Chukwu
, E. Bonyah
, M. L. Juga
, Fatmawati

Wake Forest University
Universitas Airlangga
Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development
University of Johannesburg

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

20 Scopus citations

Abstract

Tuberculosis remains one of the most dangerous diseases globally and has affected many people in Sub-Saharan Africa. In this paper, a fractional stochastic model of tuberculosis disease was formulated and analyzed. The existence and uniqueness of solutions are presented in the new approach far from the deterministic fractional operators. We carry out numerical simulations of the model using three fractional operators. Our numerical results suggest that the Caputo–Fabrizio operator has a more random effect among the three different operators than the Atangana–Baleanu and the Caputo operators. Further, it is envisaged that the fractional-order derivatives significantly impact the dynamics of the disease.

Original language	English
Article number	100238
Journal	Results in Control and Optimization
Volume	11
DOIs	https://doi.org/10.1016/j.rico.2023.100238
State	Published - Jun 2023
Externally published	Yes

UN SDGs

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

SDG 3 Good Health and Well-being

Scopus Subject Areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization
Artificial Intelligence
Applied Mathematics

Keywords

Fractional stochastic
Mathematical model
Mittag-Leffler
Random effect
Tuberculosis

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10.1016/j.rico.2023.100238

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title = "On mathematical modeling of fractional-order stochastic for tuberculosis transmission dynamics",

abstract = "Tuberculosis remains one of the most dangerous diseases globally and has affected many people in Sub-Saharan Africa. In this paper, a fractional stochastic model of tuberculosis disease was formulated and analyzed. The existence and uniqueness of solutions are presented in the new approach far from the deterministic fractional operators. We carry out numerical simulations of the model using three fractional operators. Our numerical results suggest that the Caputo–Fabrizio operator has a more random effect among the three different operators than the Atangana–Baleanu and the Caputo operators. Further, it is envisaged that the fractional-order derivatives significantly impact the dynamics of the disease.",

keywords = "Fractional stochastic, Mathematical model, Mittag-Leffler, Random effect, Tuberculosis",

author = "Chukwu, \{C. W.\} and E. Bonyah and Juga, \{M. L.\} and Fatmawati",

note = "Publisher Copyright: {\textcopyright} 2023 The Author(s)",

year = "2023",

month = jun,

doi = "10.1016/j.rico.2023.100238",

language = "English",

volume = "11",

journal = "Results in Control and Optimization",

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T1 - On mathematical modeling of fractional-order stochastic for tuberculosis transmission dynamics

AU - Chukwu, C. W.

AU - Bonyah, E.

AU - Juga, M. L.

AU - Fatmawati,

PY - 2023/6

Y1 - 2023/6

N2 - Tuberculosis remains one of the most dangerous diseases globally and has affected many people in Sub-Saharan Africa. In this paper, a fractional stochastic model of tuberculosis disease was formulated and analyzed. The existence and uniqueness of solutions are presented in the new approach far from the deterministic fractional operators. We carry out numerical simulations of the model using three fractional operators. Our numerical results suggest that the Caputo–Fabrizio operator has a more random effect among the three different operators than the Atangana–Baleanu and the Caputo operators. Further, it is envisaged that the fractional-order derivatives significantly impact the dynamics of the disease.

AB - Tuberculosis remains one of the most dangerous diseases globally and has affected many people in Sub-Saharan Africa. In this paper, a fractional stochastic model of tuberculosis disease was formulated and analyzed. The existence and uniqueness of solutions are presented in the new approach far from the deterministic fractional operators. We carry out numerical simulations of the model using three fractional operators. Our numerical results suggest that the Caputo–Fabrizio operator has a more random effect among the three different operators than the Atangana–Baleanu and the Caputo operators. Further, it is envisaged that the fractional-order derivatives significantly impact the dynamics of the disease.

KW - Fractional stochastic

KW - Mathematical model

KW - Mittag-Leffler

KW - Random effect

KW - Tuberculosis

UR - https://www.scopus.com/pages/publications/85161286856

U2 - 10.1016/j.rico.2023.100238

DO - 10.1016/j.rico.2023.100238

M3 - Article

AN - SCOPUS:85161286856

SN - 2666-7207

VL - 11

JO - Results in Control and Optimization

JF - Results in Control and Optimization

M1 - 100238

ER -

On mathematical modeling of fractional-order stochastic for tuberculosis transmission dynamics

Abstract

UN SDGs

Scopus Subject Areas

Keywords

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