On the Modeling of COVID-19 Spread via Fractional Derivative: A Stochastic Approach

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

doi:10.1134/S2070048223020023

On the Modeling of COVID-19 Spread via Fractional Derivative: A Stochastic Approach

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

Mathematical Sciences

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

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

14 Scopus citations

Abstract

Abstract: The coronavirus disease (COVID-19) pandemic has caused more harm than expected in developed and developing countries. In this work, a fractional stochastic model of COVID-19 which takes into account the random nature of the spread of disease, is formulated and analyzed. The existence and uniqueness of solutions were established using the fixed-point theory. Two different fractional operators’, namely, power-law and Mittag–Leffler function, numerical schemes in the stochastic form, are utilized to obtain numerical simulations to support the theoretical results. It is observed that the fractional order derivative has effect on the dynamics of the spread of the disease.

Original language	English
Pages (from-to)	338-356
Number of pages	19
Journal	Mathematical Models and Computer Simulations
Volume	15
Issue number	2
DOIs	https://doi.org/10.1134/S2070048223020023
State	Published - Apr 11 2023

Scopus Subject Areas

Modeling and Simulation
Computational Mathematics

Keywords

power-law, Mittag–Leffler, existence and uniqueness, stochastic model, COVID-19

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10.1134/S2070048223020023

Cite this

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title = "On the Modeling of COVID-19 Spread via Fractional Derivative: A Stochastic Approach",

abstract = "Abstract: The coronavirus disease (COVID-19) pandemic has caused more harm than expected in developed and developing countries. In this work, a fractional stochastic model of COVID-19 which takes into account the random nature of the spread of disease, is formulated and analyzed. The existence and uniqueness of solutions were established using the fixed-point theory. Two different fractional operators{\textquoteright}, namely, power-law and Mittag–Leffler function, numerical schemes in the stochastic form, are utilized to obtain numerical simulations to support the theoretical results. It is observed that the fractional order derivative has effect on the dynamics of the spread of the disease.",

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T1 - On the Modeling of COVID-19 Spread via Fractional Derivative

T2 - A Stochastic Approach

AU - Bonyah, E.

AU - Juga, M. L.

AU - Matsebula, L. M.

AU - Chukwu, C. W.

PY - 2023/4/11

Y1 - 2023/4/11

N2 - Abstract: The coronavirus disease (COVID-19) pandemic has caused more harm than expected in developed and developing countries. In this work, a fractional stochastic model of COVID-19 which takes into account the random nature of the spread of disease, is formulated and analyzed. The existence and uniqueness of solutions were established using the fixed-point theory. Two different fractional operators’, namely, power-law and Mittag–Leffler function, numerical schemes in the stochastic form, are utilized to obtain numerical simulations to support the theoretical results. It is observed that the fractional order derivative has effect on the dynamics of the spread of the disease.

AB - Abstract: The coronavirus disease (COVID-19) pandemic has caused more harm than expected in developed and developing countries. In this work, a fractional stochastic model of COVID-19 which takes into account the random nature of the spread of disease, is formulated and analyzed. The existence and uniqueness of solutions were established using the fixed-point theory. Two different fractional operators’, namely, power-law and Mittag–Leffler function, numerical schemes in the stochastic form, are utilized to obtain numerical simulations to support the theoretical results. It is observed that the fractional order derivative has effect on the dynamics of the spread of the disease.

KW - power-law, Mittag–Leffler, existence and uniqueness, stochastic model, COVID-19

UR - https://www.scopus.com/pages/publications/85152590241

UR - https://link.springer.com/article/10.1134/S2070048223020023

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DO - 10.1134/S2070048223020023

M3 - Article

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SN - 2070-0482

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SP - 338

EP - 356

JO - Mathematical Models and Computer Simulations

JF - Mathematical Models and Computer Simulations

IS - 2

ER -

On the Modeling of COVID-19 Spread via Fractional Derivative: A Stochastic Approach

Abstract

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