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Analysis of an age-structured HIV infection model with cell-to-cell transmission

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Abstract

Though cell-to-cell transmission cannot be overlooked in HIV infection, many existing studies have only focused on the cell-free infection. Moreover, the infection rate is an important factor affecting viral transmission. Considering general incidence rates and latently infected cells, we develop an age-structured model with the two transmission modes. The expression of the basic reproduction number is derived. It turns out that the existence and local stability of equilibria is determined by the basic reproduction number. Before establishing the global dynamical behavior, we prove the existence of compact global attractors and uniform persistence. Then, by using the fluctuation lemma and Lyapunov functionals, a threshold dynamics is obtained. Saturated incidence rates are selected to simulate the relationship between latently infected cells and viruses, as well as the role of age-dependent parameters in infection.

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No data are associated in the manuscript.

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Acknowledgements

This work is supported partially by the National Natural Science Foundation of China (No. 12171413), the Natural Science Foundation of Henan Province (222300420016), and the Program for Science and Technology Innovation Teams in Henan (21IRTSTHN014), and the Scientific Research Foundation of Graduate School of Xinyang Normal University (No. 2022KYJJ010).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Xinyang Normal University, Xinyang, 464000, China

    Jie Li & Xia Wang

  2. Department of Mathematics, Wilfrid Laurier University, Waterloo, N2L 3C5, Canada

    Yuming Chen

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  1. Jie Li
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  2. Xia Wang
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Correspondence to Xia Wang.

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Li, J., Wang, X. & Chen, Y. Analysis of an age-structured HIV infection model with cell-to-cell transmission. Eur. Phys. J. Plus 139, 78 (2024). https://doi.org/10.1140/epjp/s13360-024-04873-1

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