The dynamics of HIV infection model with logistic growth and infected cells in eclipse phase

Autor: Harroudi Sanaa, Allali Karam
Jazyk: English<br />French
Rok vydání: 2018
Předmět:
Zdroj: MATEC Web of Conferences, Vol 241, p 01012 (2018)
Druh dokumentu: article
ISSN: 2261-236X
DOI: 10.1051/matecconf/201824101012
Popis: 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.
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