| Issue |
MATEC Web Conf.
Volume 241, 2018
International Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD 2018)
|
|
|---|---|---|
| Article Number | 01012 | |
| Number of page(s) | 4 | |
| DOI | https://doi.org/10.1051/matecconf/201824101012 | |
| Published online | 03 December 2018 | |
The dynamics of HIV infection model with logistic growth and infected cells in eclipse phase
Department of Mathematics, FSTM, Laboratory of Mathematics & Applications , University Hassan II-Casablanca, PO Box146, Mohammedia, Morocco
a e-mail: sanaa.harroudi@gmail.com
b e-mail: allali@hotmail.com
In this paper, we study a mathematical model of human immunodeficiency virus dynamics with logistic growth and infected cells in eclipse phase. This model describes the interactions between uninfected CD4+ T cells, infected CD4+ T cells in latent stage, productively infected CD4+ T cells and free virus. The positivity and boundedness of solutions for non negative initial data are proved. The stability of disease-free equilibrium and endemic equilibrium are rigorously established. Numerical simulations are also provided to give a more complete representation of the system dynamics.
Key words: HIV infection / Logistic growth / Stability / Viral dynamics
© The Authors, published by EDP Sciences, 2018
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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