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Stability and bifurcation for a haematopoietic stem cell transplantation model with HIV virus-to-cell infection
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  • Wencong Wang,
  • Long Zhang,
  • Hong-Li Li,
  • Zhidong Teng
Wencong Wang
Xinjiang University
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Long Zhang
Xinjiang University

Corresponding Author:longzhang_xj@sohu.com

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Hong-Li Li
Xinjiang University
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Zhidong Teng
Xinjiang Medical University
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Abstract

In this paper, a class of hematopoietic stem cell transplantation model with virus-to-cell HIV infection is proposed to characterize the competitive exclusion and coexistence between the host CD4+T cells and donor CD4+T cells. First, the positivity and boundedness of solutions as well as the basic reproduction number R are obtained. Second, criteria on the locally and globally asymptotical stability of all feasiable equilibria are established. Furthermore, bifurcation analysis is performed on the mixed chimerism infection equilibrium. Finally, the theoretical results are illustrated by numerical simulation, we find that chimerism is an important indicator of model stability, and AIDS may be cured when chimerism reaches a certain threshold.
02 Jan 2025Submitted to Mathematical Methods in the Applied Sciences
06 Jan 2025Submission Checks Completed
06 Jan 2025Assigned to Editor
10 Jan 2025Review(s) Completed, Editorial Evaluation Pending
15 Jan 2025Reviewer(s) Assigned