Numerical simulation and analysis of the stochastic HIV/AIDS model in fractional order

被引：20

作者：

Zafar, Zain Ul Abadin ^{[1
]}

Darassi, Mahmoud H. ^{[2
]}

Ahmad, Irfan ^{[3
]}

Assiri, Taghreed A. ^{[4
]}

Meetei, Mutum Zico ^{[5
]}

Khan, Muhammad Altaf ^{[6
]}

Hassan, Ahmed M. ^{[7
]}

机构：

[1] Univ Cent Punjab, Fac Sci & Technol, Dept Math, Lahore, Pakistan

[2] Princess Sumaya Univ Technol, Dept Basic Sci, Amman 11941, Jordan

[3] King Khalid Univ, Coll Appl Med Sci, Dept Clin Lab Sci, Abha 61421, Saudi Arabia

[4] Umm Al Qura Univ, Fac Sci, Dept Math, Mecca, Saudi Arabia

[5] Jazan Univ, Coll Sci, Dept Math, Jazan 45142, Saudi Arabia

[6] Univ Free State, Fac Nat & Agr Sci, ZA-9300 Bloemfontein, South Africa

[7] Future Univ Egypt, Fac Engn, Cairo 11835, Egypt

来源：

RESULTS IN PHYSICS | 2023年 / 53卷

关键词：

Numerical simulations; HIV/AIDS model; Existence and uniqueness; Stochastic differential equations; Theoretical results; EPIDEMIC MODEL; HIV-INFECTION; TRANSMISSION; STABILITY; DYNAMICS;

D O I：

10.1016/j.rinp.2023.106995

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页数：14

共 53 条

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[2]

Abdon Atangana, 2022, Industrial and applied mathematics

[3]

Abdon Atangana, 2019, J Comput Appl Math, P372

[4]

Atangana A, 2016, Arxiv, DOI [arXiv:1602.03408, DOI 10.2298/TSCI160111018A]

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