Volume 6, Issue 4
Stability in a Multi-Stage HIV Infection Model with General Incidence Rate

Ruiwen Yang, Xiaofei Wei & Jiemei Li

J. Nonl. Mod. Anal., 6 (2024), pp. 1157-1170.

Published online: 2024-12

[An open-access article; the PDF is free to any online user.]

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  • 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 $R^0 > 1.$

  • AMS Subject Headings

34D20, 92C37

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COPYRIGHT: © Global Science Press

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@Article{JNMA-6-1157, author = {Yang , RuiwenWei , Xiaofei and Li , Jiemei}, title = {Stability in a Multi-Stage HIV Infection Model with General Incidence Rate}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2024}, volume = {6}, number = {4}, pages = {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 $R^0 > 1.$

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.1157}, url = {http://global-sci.org/intro/article_detail/jnma/23677.html} }
TY - JOUR T1 - Stability in a Multi-Stage HIV Infection Model with General Incidence Rate AU - Yang , Ruiwen AU - Wei , Xiaofei AU - Li , Jiemei JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 1157 EP - 1170 PY - 2024 DA - 2024/12 SN - 6 DO - http://doi.org/10.12150/jnma.2024.1157 UR - https://global-sci.org/intro/article_detail/jnma/23677.html KW - Multi-stage models, Lyapunov, incidence, stability. AB -

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 $R^0 > 1.$

Yang , RuiwenWei , Xiaofei and Li , Jiemei. (2024). Stability in a Multi-Stage HIV Infection Model with General Incidence Rate. Journal of Nonlinear Modeling and Analysis. 6 (4). 1157-1170. doi:10.12150/jnma.2024.1157
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