https://doi.org/10.1140/epjp/s13360-024-04873-1
Regular Article
Analysis of an age-structured HIV infection model with cell-to-cell transmission
1
School of Mathematics and Statistics, Xinyang Normal University, 464000, Xinyang, China
2
Department of Mathematics, Wilfrid Laurier University, N2L 3C5, Waterloo, Canada
Received:
3
November
2023
Accepted:
8
January
2024
Published online:
22
January
2024
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.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
