JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (4): 90-97.doi: 10.6040/j.issn.1671-9352.0.2023.150

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Dynamic behaviors analysis of delayed HIV model with cell-to-cell transmissions and protease inhibitors

MIAO Hui1, ABDURAHMAN Xamxinur2*   

  1. 1. School of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006, Shanxi, China;
    2. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, Xinjiang, China
  • Published:2024-04-12

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Abstract: In this paper, considering the transmission mechanism of HIV and antiviral drug therapy, a delayed HIV model with cell-to-cell transmission f2(G,J)and a protease inhibitor therapy is investigated. The global stability of equilibria E0 and E1 is proven. Our analysis shows that neglecting cell-to-cell transmission f2(G,J)or virus-to-cell infection f1(G,L)can lead to an underestimation of the basic number of virus infections R0, and the theoretical results were validated through numerical simulation.

Key words: HIV infection model, cell-to-cell transmission, protease inhibitor, Lyapunov functional, global stability

CLC Number: 

  • O175
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