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Journals / Maltepe Journal of Mathematics / 2026 / Volume: 3 Issue: 1

STABILITY ANALYSIS OF A NOVEL ODE MODEL FOR HIV INFECTION

Hoang Ngo(École Polytechnique, Institut Polytechnique de Paris,)
Hung Dang Nguyen(Pham Ngoc Thach University of Medicine)0000-0002-3169-6499
Mehmet Dik(Rockford University)0000-0003-0643-2771
Pages
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Publication Date
2021-04-29
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, numerical simulations are conducted to illustrate and verify the results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we propose and investigate the stability of a novel 3-compartment ordinary differential equation (ODE) model of HIV infection of CD4+ T-cells with a mass action term.
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Key Findings & Data:Similar to various endemic models, the dynamics within the model is fully determined by the basic reproduction term R0.
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Conclusion & Impact:Finally, numerical simulations are conducted to illustrate and verify the results.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:HIV · globally asymptotical stability · periodic solution

Abstract

In this paper, we propose and investigate the stability of a novel 3-compartment ordinary differential equation (ODE) model of HIV infection of CD4+ T-cells with a mass action term. Similar to various endemic models, the dynamics within the model is fully determined by the basic reproduction term R0. If R0 < 1, the disease-free (zero) equilibrium will be asymptotically stable. On the other hand, if R0 > 1, there exists a positive equilibrium that is globally/orbitally asymptotically stable under certain conditions within the interior of a predefined region. Finally, numerical simulations are conducted to illustrate and verify the results.

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Cite This Article

Ngo, H., Nguyen, H. D., Dik, M. (2021). STABILITY ANALYSIS OF A NOVEL ODE MODEL FOR HIV INFECTION. Maltepe Journal of Mathematics, Volume: 3 Issue: 1. https://doi.org/10.47087/mjm.911431

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