A Stochastic Approach to Modeling Food Pattern

In this paper, we propose a fractional differential equation of order one-half, to model the evolution through time of the dynamics of accumulation and elimination of the contaminant in the human organism with a deficient immune system, during consecutive intakes of contaminated food. This process q...

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Bibliographic Details
Published inInternational journal of mathematics and mathematical sciences Vol. 2022; pp. 1 - 9
Main Authors Adedje, Komla Elom, Barro, Diakarya
Format Journal Article
LanguageEnglish
Published New York Hindawi 11.08.2022
John Wiley & Sons, Inc
Wiley
Subjects
Analysis
Contaminants
Differential equations
Evolution
Food
Food contamination
Fractional calculus
Immune system
Immunocompetence
Mathematical functions
Modelling
Pharmacokinetics
Random variables
Stochastic models
Stochastic processes
Toxins
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ISSN0161-1712
1687-0425
DOI10.1155/2022/9011873

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Summary:In this paper, we propose a fractional differential equation of order one-half, to model the evolution through time of the dynamics of accumulation and elimination of the contaminant in the human organism with a deficient immune system, during consecutive intakes of contaminated food. This process quantifies the exposure to toxins of subjects living with comorbidity (children not breastfed, the elderly, and pregnant women) to food-borne diseases. The Adomian Decomposition Method and the fractional integration of Riemann Liouville are used in the modeling processes.
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ISSN:0161-1712
1687-0425
DOI:10.1155/2022/9011873