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September 12, 2025Mathematical Methods in the Applied Sciences

Virus Dynamic Behaviors of a Stochastic HIV Infection Model With Two Distinct Cell Subsets and General Infection Rates

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Authors

YLYuncong LiuJMJiawei MaYWYan Wang

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Overview

Stochastic analysis reveals unique solutions in a complex HIV model, suggesting certain conditions for viral persistence and eradication.

Key Points

  • A unique global solution is demonstrated for the stochastic HIV infection model, confirming its validity and reliability.
  • The study finds that under a critical condition, the model can indicate long-term persistence of target cells and viruses.
  • Rigorous methods, including Lyapunov functions and spectral radius analysis, are utilized to investigate viral dynamics and eradication conditions.
  • Numerical simulations support theoretical findings and examine the effects of various parameters on the model's behavior.

Cite This Study

Liu et al. (2025) studied this question.

synapsesocial.com/papers/68d44c4631b076d99fa559b4https://doi.org/10.1002/mma.70080
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Also Consider

Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Mathematical Analysis of HIV-1 Dynamics in Vivo1999 · 1,574 citations
  2. 2Mathematical Analysis of Age‐Structured HIV‐1 Dynamics with Combination Antiretroviral Therapy2007 · 159 citations
  3. 3Insight into treatment of<scp>HIV</scp>infection from viral dynamics models2018 · 74 citations