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Stability in a Multi-Stage HIV Infection Model with General Incidence Rate

Year:    2024

Author:    Ruiwen Yang, Xiaofei Wei, Jiemei Li

Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 1157–1170

Abstract

In this paper, we propose a multi-stage HIV infection model with general incidence rate to describe the influence of raltegravir intensification on viral dynamics. The basic reproduction number $R_0$ is established. The infection-free equilibrium $E_0$ is locally asymptotically stable if $R_0<1.$ The infection equilibrium $E^∗$ is locally asymptotically stable if $R^0 > 1.$

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2024.1157

Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 1157–1170

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Multi-stage models Lyapunov incidence stability.

Author Details

Ruiwen Yang

Xiaofei Wei

Jiemei Li