Fractional Derivative and Optimal Control Analysis of Cholera Epidemic Model
In this study, a cholera model with fractional derivative and optimal control analysis is presented. Numerical simulation analysis shows that increasing the order of fractional derivatives contributes to updating the memory of the population to control the effects of cholera infection through availa...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/9075917 |
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| _version_ | 1832553001049391104 |
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| author | Kumama Regassa Cheneke Koya Purnachandra Rao Geremew Kenassa Edessa |
| author_facet | Kumama Regassa Cheneke Koya Purnachandra Rao Geremew Kenassa Edessa |
| author_sort | Kumama Regassa Cheneke |
| collection | DOAJ |
| description | In this study, a cholera model with fractional derivative and optimal control analysis is presented. Numerical simulation analysis shows that increasing the order of fractional derivatives contributes to updating the memory of the population to control the effects of cholera infection through available controlling techniques. On the other hand, the optimal analysis gives an indication of applying controlling infection with available treatment and prevention techniques. It provides a better mechanism to prevent the happening of cholera infection. Moreover, cost-effectiveness evaluation of cholera contamination intervention with feasible three or four combos of manipulate measures hygiene, vaccination, remedy of infectives, and chlorination indicates that hygiene, vaccination, and chlorination are the desired higher mixture to govern in addition propagation of cholera contamination. Numerical simulations are performed with the MATLAB platform and numerical solutions and results are discussed. |
| format | Article |
| id | doaj-art-a4b709b3ddea49d7895cafefb18bbb1f |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-a4b709b3ddea49d7895cafefb18bbb1f2025-02-03T05:57:23ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/9075917Fractional Derivative and Optimal Control Analysis of Cholera Epidemic ModelKumama Regassa Cheneke0Koya Purnachandra Rao1Geremew Kenassa Edessa2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this study, a cholera model with fractional derivative and optimal control analysis is presented. Numerical simulation analysis shows that increasing the order of fractional derivatives contributes to updating the memory of the population to control the effects of cholera infection through available controlling techniques. On the other hand, the optimal analysis gives an indication of applying controlling infection with available treatment and prevention techniques. It provides a better mechanism to prevent the happening of cholera infection. Moreover, cost-effectiveness evaluation of cholera contamination intervention with feasible three or four combos of manipulate measures hygiene, vaccination, remedy of infectives, and chlorination indicates that hygiene, vaccination, and chlorination are the desired higher mixture to govern in addition propagation of cholera contamination. Numerical simulations are performed with the MATLAB platform and numerical solutions and results are discussed.http://dx.doi.org/10.1155/2022/9075917 |
| spellingShingle | Kumama Regassa Cheneke Koya Purnachandra Rao Geremew Kenassa Edessa Fractional Derivative and Optimal Control Analysis of Cholera Epidemic Model Journal of Mathematics |
| title | Fractional Derivative and Optimal Control Analysis of Cholera Epidemic Model |
| title_full | Fractional Derivative and Optimal Control Analysis of Cholera Epidemic Model |
| title_fullStr | Fractional Derivative and Optimal Control Analysis of Cholera Epidemic Model |
| title_full_unstemmed | Fractional Derivative and Optimal Control Analysis of Cholera Epidemic Model |
| title_short | Fractional Derivative and Optimal Control Analysis of Cholera Epidemic Model |
| title_sort | fractional derivative and optimal control analysis of cholera epidemic model |
| url | http://dx.doi.org/10.1155/2022/9075917 |
| work_keys_str_mv | AT kumamaregassacheneke fractionalderivativeandoptimalcontrolanalysisofcholeraepidemicmodel AT koyapurnachandrarao fractionalderivativeandoptimalcontrolanalysisofcholeraepidemicmodel AT geremewkenassaedessa fractionalderivativeandoptimalcontrolanalysisofcholeraepidemicmodel |