https://www.journals.vu.lt/nonlinear-analysis/issue/feed Nonlinear Analysis: Modelling and Control 2022-11-22T08:29:14+00:00 Prof. Romas Baronas nonlinear@mii.vu.lt Open Journal Systems <p>Founded in 1997 and dedicated to publishing interdisciplinary works on nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. Indexed in the <em>Scopus</em> (Q2) database since 2009 and in the<em> Web of Science</em> (Q1) database since 2010.</p> https://www.journals.vu.lt/nonlinear-analysis/article/view/29615 Dynamics analysis of an HIV infection model with latent reservoir, delayed CTL immune response and immune impairment 2022-11-22T08:29:14+00:00 Liru Zhang 17835062335@163.com Rui Xu xurui@sxu.edu.cn <p>In this paper, we propose an HIV model with latent reservoir, delayed CTL immune response and immune impairment in which both virus-to-cell infection and cell-to-cell viral transmission are considered. By using Lyapunov functionals and LaSalle’s invariance principle, it is verified that when time delay is equal to zero, the global threshold dynamics of the model is determined by the basic reproduction ratio. With the help of uniform persistence theory for infinite dimensional systems, we obtain the uniform persistence when the basic reproduction ratio is greater than unity. By choosing time delay  as a bifurcation parameter and analyzing the corresponding characteristic equation of the system, we establish the existence of Hopf bifurcation at the chronic-infection equilibrium. Numerical simulations are carried out to illustrate the corresponding theoretical results.</p> 2022-11-04T00:00:00+00:00 Copyright (c) 2023 Liru Zhang | Rui Xu