Numerical simulation and analysis of the stochastic HIV/AIDS model in fractional order
The current work analyzes the HIV/AIDS model under stochastic fractional differential equations in the Caputo sense. The articulation of the model both in integer and arbitrary order with stochastic differential equation are presented. We provide the solution’s positivity and boundedness for the pro...
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-10-01
|
| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S221137972300788X |
| _version_ | 1797660486755418112 |
|---|---|
| author | Zain Ul Abadin Zafar Mahmoud H. DarAssi Irfan Ahmad Taghreed A. Assiri Mutum Zico Meetei Muhammad Altaf Khan Ahmed M. Hassan |
| author_facet | Zain Ul Abadin Zafar Mahmoud H. DarAssi Irfan Ahmad Taghreed A. Assiri Mutum Zico Meetei Muhammad Altaf Khan Ahmed M. Hassan |
| author_sort | Zain Ul Abadin Zafar |
| collection | DOAJ |
| description | The current work analyzes the HIV/AIDS model under stochastic fractional differential equations in the Caputo sense. The articulation of the model both in integer and arbitrary order with stochastic differential equation are presented. We provide the solution’s positivity and boundedness for the proposed system. The existence and uniqueness of the fractional stochastic order differential equations are given. We give a novel numerical approach based on Newton’s polynomial to numerically solve the fractional stochastic model. Also, we provide a numerical technique for the solution in the power law model. The results for the Caputo fractional case and stochastic fractional Caputo case are shown and discussed in detail. Sensitivity analysis are done and provide their respective results graphically. The numerical solution of the model based on their sensitive parameters is shown graphically in order to minimize the infection. |
| first_indexed | 2024-03-11T18:30:35Z |
| format | Article |
| id | doaj.art-0e6072d815814ecab4223e83a542a222 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-11T18:30:35Z |
| publishDate | 2023-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-0e6072d815814ecab4223e83a542a2222023-10-13T11:04:22ZengElsevierResults in Physics2211-37972023-10-0153106995Numerical simulation and analysis of the stochastic HIV/AIDS model in fractional orderZain Ul Abadin Zafar0Mahmoud H. DarAssi1Irfan Ahmad2Taghreed A. Assiri3Mutum Zico Meetei4Muhammad Altaf Khan5Ahmed M. Hassan6Department of Mathematics, Faculty of Science and Technology, University of Central Punjab, Lahore, PakistanDepartment of Basic Sciences, Princess Sumaya University for Technology, Amman 11941, JordanDepartment of Clinical Laboratory Sciences, College of Applied Medical Science, King Khalid University, Abha 61421, Saudi ArabiaDepartment of mathematics, Faculty of Science, Umm Al-Qura University, Makkah, Saudi ArabiaDepartment of Mathematics, College of Science, Jazan University, Jazan 45142, Saudi ArabiaFaculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein 9300, South Africa; Corresponding author.Faculty of engineering, Future University in egypt, 11835, cairo, EgyptThe current work analyzes the HIV/AIDS model under stochastic fractional differential equations in the Caputo sense. The articulation of the model both in integer and arbitrary order with stochastic differential equation are presented. We provide the solution’s positivity and boundedness for the proposed system. The existence and uniqueness of the fractional stochastic order differential equations are given. We give a novel numerical approach based on Newton’s polynomial to numerically solve the fractional stochastic model. Also, we provide a numerical technique for the solution in the power law model. The results for the Caputo fractional case and stochastic fractional Caputo case are shown and discussed in detail. Sensitivity analysis are done and provide their respective results graphically. The numerical solution of the model based on their sensitive parameters is shown graphically in order to minimize the infection.http://www.sciencedirect.com/science/article/pii/S221137972300788XNumerical simulationsHIV/AIDS modelExistence and uniquenessStochastic differential equationsTheoretical results |
| spellingShingle | Zain Ul Abadin Zafar Mahmoud H. DarAssi Irfan Ahmad Taghreed A. Assiri Mutum Zico Meetei Muhammad Altaf Khan Ahmed M. Hassan Numerical simulation and analysis of the stochastic HIV/AIDS model in fractional order Results in Physics Numerical simulations HIV/AIDS model Existence and uniqueness Stochastic differential equations Theoretical results |
| title | Numerical simulation and analysis of the stochastic HIV/AIDS model in fractional order |
| title_full | Numerical simulation and analysis of the stochastic HIV/AIDS model in fractional order |
| title_fullStr | Numerical simulation and analysis of the stochastic HIV/AIDS model in fractional order |
| title_full_unstemmed | Numerical simulation and analysis of the stochastic HIV/AIDS model in fractional order |
| title_short | Numerical simulation and analysis of the stochastic HIV/AIDS model in fractional order |
| title_sort | numerical simulation and analysis of the stochastic hiv aids model in fractional order |
| topic | Numerical simulations HIV/AIDS model Existence and uniqueness Stochastic differential equations Theoretical results |
| url | http://www.sciencedirect.com/science/article/pii/S221137972300788X |
| work_keys_str_mv | AT zainulabadinzafar numericalsimulationandanalysisofthestochastichivaidsmodelinfractionalorder AT mahmoudhdarassi numericalsimulationandanalysisofthestochastichivaidsmodelinfractionalorder AT irfanahmad numericalsimulationandanalysisofthestochastichivaidsmodelinfractionalorder AT taghreedaassiri numericalsimulationandanalysisofthestochastichivaidsmodelinfractionalorder AT mutumzicomeetei numericalsimulationandanalysisofthestochastichivaidsmodelinfractionalorder AT muhammadaltafkhan numericalsimulationandanalysisofthestochastichivaidsmodelinfractionalorder AT ahmedmhassan numericalsimulationandanalysisofthestochastichivaidsmodelinfractionalorder |