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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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2022/9011873 |
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| _version_ | 1832552987227062272 |
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| author | Komla Elom Adedje Diakarya Barro |
| author_facet | Komla Elom Adedje Diakarya Barro |
| author_sort | Komla Elom Adedje |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-734ead581e6f4386a0e84379e681f915 |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-734ead581e6f4386a0e84379e681f9152025-02-03T05:57:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252022-01-01202210.1155/2022/9011873A Stochastic Approach to Modeling Food PatternKomla Elom Adedje0Diakarya Barro1Université Thomas SankaraUniversité Thomas SankaraIn 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.http://dx.doi.org/10.1155/2022/9011873 |
| spellingShingle | Komla Elom Adedje Diakarya Barro A Stochastic Approach to Modeling Food Pattern International Journal of Mathematics and Mathematical Sciences |
| title | A Stochastic Approach to Modeling Food Pattern |
| title_full | A Stochastic Approach to Modeling Food Pattern |
| title_fullStr | A Stochastic Approach to Modeling Food Pattern |
| title_full_unstemmed | A Stochastic Approach to Modeling Food Pattern |
| title_short | A Stochastic Approach to Modeling Food Pattern |
| title_sort | stochastic approach to modeling food pattern |
| url | http://dx.doi.org/10.1155/2022/9011873 |
| work_keys_str_mv | AT komlaelomadedje astochasticapproachtomodelingfoodpattern AT diakaryabarro astochasticapproachtomodelingfoodpattern AT komlaelomadedje stochasticapproachtomodelingfoodpattern AT diakaryabarro stochasticapproachtomodelingfoodpattern |