A study on transmission dynamics of HIV/AIDS model through fractional operators
The main determination of this task is to investigate a mathematical system numerically and figure out the possible dynamics of transmission of HIV/AIDS disease in existence of an aware community. In our work, we consider a mathematical system of HIV/AIDS transmission in existence of awareness effec...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-03-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721000395 |
| _version_ | 1818915209801105408 |
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| author | Sunil Kumar R.P. Chauhan Abdel-Haleem Abdel-Aty M.R. Alharthi |
| author_facet | Sunil Kumar R.P. Chauhan Abdel-Haleem Abdel-Aty M.R. Alharthi |
| author_sort | Sunil Kumar |
| collection | DOAJ |
| description | The main determination of this task is to investigate a mathematical system numerically and figure out the possible dynamics of transmission of HIV/AIDS disease in existence of an aware community. In our work, we consider a mathematical system of HIV/AIDS transmission in existence of awareness effect and the model is considered with three different singular and non-singular fractional operators. Further, the existence results of the arbitrary-order model is interrogated through Picard-Lindelof approach. We show some numerical algorithms for achieving an approximate solution of the suggested model such as a predictor–corrector numerical scheme for Caputo derivative, two-step Adams-Bashforth numerical technique for CF derivative and Adams-type predictor–corrector numerical technique for AB derivative. The numerical simulations of the obtained numerical results for the suggested system are suggested for distinct values of arbitrary order. |
| first_indexed | 2024-12-19T23:58:39Z |
| format | Article |
| id | doaj.art-1107bdcff33140128850e43f4e299e30 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-19T23:58:39Z |
| publishDate | 2021-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-1107bdcff33140128850e43f4e299e302022-12-21T20:00:54ZengElsevierResults in Physics2211-37972021-03-0122103855A study on transmission dynamics of HIV/AIDS model through fractional operatorsSunil Kumar0R.P. Chauhan1Abdel-Haleem Abdel-Aty2M.R. Alharthi3Department of Mathematics, National Institute of Technology, Jamshedpur 831014, Jharkhand, India; Corresponding author.Department of Mathematics, National Institute of Technology, Jamshedpur 831014, Jharkhand, IndiaDepartment of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia; Physics Department, Faculty of Science, Al-Azhar University, Assiut 71524, EgyptDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaThe main determination of this task is to investigate a mathematical system numerically and figure out the possible dynamics of transmission of HIV/AIDS disease in existence of an aware community. In our work, we consider a mathematical system of HIV/AIDS transmission in existence of awareness effect and the model is considered with three different singular and non-singular fractional operators. Further, the existence results of the arbitrary-order model is interrogated through Picard-Lindelof approach. We show some numerical algorithms for achieving an approximate solution of the suggested model such as a predictor–corrector numerical scheme for Caputo derivative, two-step Adams-Bashforth numerical technique for CF derivative and Adams-type predictor–corrector numerical technique for AB derivative. The numerical simulations of the obtained numerical results for the suggested system are suggested for distinct values of arbitrary order.http://www.sciencedirect.com/science/article/pii/S2211379721000395HIV/AIDS transmission modelFractional derivativesPicard-Lindelof approachNumerical simulation |
| spellingShingle | Sunil Kumar R.P. Chauhan Abdel-Haleem Abdel-Aty M.R. Alharthi A study on transmission dynamics of HIV/AIDS model through fractional operators Results in Physics HIV/AIDS transmission model Fractional derivatives Picard-Lindelof approach Numerical simulation |
| title | A study on transmission dynamics of HIV/AIDS model through fractional operators |
| title_full | A study on transmission dynamics of HIV/AIDS model through fractional operators |
| title_fullStr | A study on transmission dynamics of HIV/AIDS model through fractional operators |
| title_full_unstemmed | A study on transmission dynamics of HIV/AIDS model through fractional operators |
| title_short | A study on transmission dynamics of HIV/AIDS model through fractional operators |
| title_sort | study on transmission dynamics of hiv aids model through fractional operators |
| topic | HIV/AIDS transmission model Fractional derivatives Picard-Lindelof approach Numerical simulation |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721000395 |
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