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Ghamgosar, Mohammad, Mirhosseini-Alizamini, Seyed Mehdi, Farhad, Violet. (1405). Sliding mode control-based analysis of a time-delay HIV dynamic model. فیزیولوژی و بیوتکنولوژی آبزیان, (), -. doi: 10.22124/jmm.2026.32402.2937
Mohammad Ghamgosar; Seyed Mehdi Mirhosseini-Alizamini; Violet Farhad. "Sliding mode control-based analysis of a time-delay HIV dynamic model". فیزیولوژی و بیوتکنولوژی آبزیان, , , 1405, -. doi: 10.22124/jmm.2026.32402.2937
Ghamgosar, Mohammad, Mirhosseini-Alizamini, Seyed Mehdi, Farhad, Violet. (1405). 'Sliding mode control-based analysis of a time-delay HIV dynamic model', فیزیولوژی و بیوتکنولوژی آبزیان, (), pp. -. doi: 10.22124/jmm.2026.32402.2937
Ghamgosar, Mohammad, Mirhosseini-Alizamini, Seyed Mehdi, Farhad, Violet. Sliding mode control-based analysis of a time-delay HIV dynamic model. فیزیولوژی و بیوتکنولوژی آبزیان, 1405; (): -. doi: 10.22124/jmm.2026.32402.2937

Sliding mode control-based analysis of a time-delay HIV dynamic model

Journal of Mathematical Modeling
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 25 اردیبهشت 1405    اصل مقاله (834.8 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2026.32402.2937
نویسندگان
Mohammad Ghamgosar1؛ Seyed Mehdi Mirhosseini-Alizamini* 2؛ Violet Farhad3
1Academic Center for Education. Cultural and Research (ACCECR), Rasht, Iran.
2Department of Mathematics, Payame Noor University (PNU), Tehran, Iran
3Department of Mathematics, Payame Noor University (PNU), Tehran, Iran.
چکیده
In this paper, a sliding mode control strategy is developed for a biologically realistic
fourth-order HIV infection model with explicit time delay. The model captures the effects of
intracellular delay and virus production rate on the dynamics of healthy CD4+ T cells, infected cells,
and free viral particles. A sliding mode controller is designed for all system states, and a rigorous
finite-time convergence analysis is provided using Lyapunov theory. It is analytically shown that
the proposed control law guarantees convergence of the system trajectories to the sliding surface in
finite time, despite the presence of time delays and parameter uncertainties. Numerical simulations
conducted under various delay values and virus production rates demonstrate that increasing delay
and viral replication adversely affect system stability and may lead to divergence beyond a critical
delay threshold. In contrast, the proposed controller effectively suppresses oscillations and enforces
rapid convergence of the system states. These results confirm the robustness and effectiveness of
the proposed sliding mode control framework for delayed HIV dynamics.
کلیدواژه‌ها
Stability؛ time Delay؛ sliding mode control؛ HIV infection
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