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Mohammadi, M. Khadem, Parsa Moghaddam, Behrouz, Yaghoobnia, Alireaza, Askaripour Lahiji, Mohammadreza. (1405). Efficient Numerical Simulation of Fractional Stochastic HIV Models with Intracellular Delay. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2026.70853.3543
M. Khadem Mohammadi; Behrouz Parsa Moghaddam; Alireaza Yaghoobnia; Mohammadreza Askaripour Lahiji. "Efficient Numerical Simulation of Fractional Stochastic HIV Models with Intracellular Delay". سامانه مدیریت نشریات علمی, , , 1405, -. doi: 10.22034/cmde.2026.70853.3543
Mohammadi, M. Khadem, Parsa Moghaddam, Behrouz, Yaghoobnia, Alireaza, Askaripour Lahiji, Mohammadreza. (1405). 'Efficient Numerical Simulation of Fractional Stochastic HIV Models with Intracellular Delay', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2026.70853.3543
Mohammadi, M. Khadem, Parsa Moghaddam, Behrouz, Yaghoobnia, Alireaza, Askaripour Lahiji, Mohammadreza. Efficient Numerical Simulation of Fractional Stochastic HIV Models with Intracellular Delay. سامانه مدیریت نشریات علمی, 1405; (): -. doi: 10.22034/cmde.2026.70853.3543

Efficient Numerical Simulation of Fractional Stochastic HIV Models with Intracellular Delay

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 08 خرداد 1405    اصل مقاله (2.65 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2026.70853.3543
نویسندگان
M. Khadem Mohammadi1؛ Behrouz Parsa Moghaddam* 1؛ Alireaza Yaghoobnia1؛ Mohammadreza Askaripour Lahiji2
1Department of Mathematics, La.C., Islamic Azad University, Lahijan, Iran.
2Department of Applied Mathematics, Ast.C., Islamic Azad University, Astaneh Ashrafieh, Iran.
چکیده
This paper proposes an accurate and computationally efficient technique for solving fractional delay stochastic differential equations based on the standard Wiener process. The discretization scheme employs a combined algorithm that integrates B-spline and Lagrange interpolation functions, providing enhanced numerical accuracy. We establish comprehensive error and convergence analyses for the suggested scheme, demonstrating its theoretical robustness. The practical application of the combined numerical simulation is presented through a fractional delay stochastic HIV infection model, where we analyze various scenarios involving intracellular delay and viral replication rates. The study investigates the effects of both stochastic noise and time delay on the model dynamics, complemented by a thorough examination from the perspective of statistical indicators. Our results demonstrate the superior performance of the proposed method in terms of accuracy, convergence order, and computational efficiency, establishing its applicability for modeling complex biological systems with memory effects and random perturbations.
کلیدواژه‌ها
Fractional Derivative؛ Standard Wiener Process؛ Fractional Delay Stochastic Differential Equation؛ Quadratic Interpolation؛ Intracellular Delay
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تعداد مشاهده مقاله: 113
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