Mathematical modeling, analysis and numerical simulation of HIV: The influence of stochastic environmental fluctuations on dynamics

H Qi, X Meng - Mathematics and Computers in Simulation, 2021 - Elsevier
In this paper, we explore the effect of the stochastic environmental fluctuations on the
dynamics of an HIV system with both virus-to-cell and cell-to-cell transmissions, intracellular …

Dynamic behavior of a general stochastic HIV model with virus-to-cell infection, cell-to-cell transmission, immune response and distributed delays

Y Wang, M Lu, D Jiang - Journal of Nonlinear Science, 2023 - Springer
In this paper, we construct a general four-dimensional delayed HIV infection model with
virus-to-cell infection, cell-to-cell transmission, CTL immune response and parameter …

Threshold dynamics of an HIV-1 virus model with both virus-to-cell and cell-to-cell transmissions, intracellular delay, and humoral immunity

J Lin, R Xu, X Tian - Applied mathematics and computation, 2017 - Elsevier
Direct cell-to-cell transmission of HIV-1 is proved to be a more efficient means of virus
infection than virus-to-cell transmission. In this paper, we incorporate both virus-to-cell and …

Stability of general virus dynamics models with both cellular and viral infections and delays

AM Elaiw, AA Raezah - Mathematical Methods in the Applied …, 2017 - Wiley Online Library
We consider general virus dynamics model with virus‐to‐target and infected‐to‐target
infections. The model is incorporated by intracellular discrete or distributed time delays. We …

Stability of a general adaptive immunity virus dynamics model with multistages of infected cells and two routes of infection

A Elaiw, N AlShamrani - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
This paper studies an (n+ 4)‐dimensional nonlinear virus dynamics model that characterizes
the interactions of the viruses, susceptible host cells, n‐stages of infected cells, B cells and …

Stability of a general CTL-mediated immunity HIV infection model with silent infected cell-to-cell spread

AM Elaiw, NH Alshamrani - Advances in Difference Equations, 2020 - Springer
This paper proposes and analyzes a CTL-mediated HIV infection model. The model
describes the interaction between healthy CD4+ T cells, silent infected cells, active infected …

Complete dynamical analysis for a nonlinear HTLV-I infection model with distributed delay, CTL response and immune impairment.

L Wang, Z Liu, Y Li, D Xu - Discrete & Continuous Dynamical …, 2020 - search.ebscohost.com
It is well known that CTL (cytotoxic T lymphocyte) immune response could be broadly
classified into lytic and nonlytic components, nonlinear functions can better reproduce …

An HIV stochastic model with cell-to-cell infection, B-cell immune response and distributed delay

Y Wang, J Liu, X Zhang, JM Heffernan - Journal of Mathematical Biology, 2023 - Springer
In this study, a delayed HIV stochastic model with virus-to-cell infection, cell-to-cell
transmission and B-cell immune response is proposed. We first transform the stochastic …

Analysis of an HIV model with immune responses and cell-to-cell transmission

T Guo, Z Qiu, L Rong - Bulletin of the Malaysian Mathematical Sciences …, 2020 - Springer
In this paper, a mathematical model is formulated to investigate the dynamics of HIV
infection. The model incorporates two routes of infection (namely cell-to-cell transmission …

Mathematical analysis of a delayed HIV infection model with saturated CTL immune response and immune impairment

Y Yang, R Xu - Journal of Applied Mathematics and Computing, 2022 - Springer
In this paper, we develop an HIV infection model with intracellular delay, Beddington–
DeAngelis incidence rate, saturated CTL immune response and immune impairment. We …