Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions

Y Yang, L Zou, S Ruan - Mathematical biosciences, 2015 - Elsevier
A within-host viral infection model with both virus-to-cell and cell-to-cell transmissions and
three distributed delays is investigated, in which the first distributed delay describes the …

Analysis of an age structured HIV infection model with virus-to-cell infection and cell-to-cell transmission

J Wang, J Lang, X Zou - Nonlinear Analysis: Real World Applications, 2017 - Elsevier
Recent studies reveal that cell-to-cell transmission via formation of virological synapses can
contribute significantly to virus spread, and hence, may play a more important role than virus …

[HTML][HTML] Modeling cell-to-cell spread of HIV-1 with logistic target cell growth

X Lai, X Zou - Journal of Mathematical Analysis and Applications, 2015 - Elsevier
In this paper, we consider a model containing two modes for HIV-1 infection and spread, one
is the diffusion-limited cell-free virus transmission and the other is the direct cell-to-cell …

Mathematical analysis of an HIV latent infection model including both virus-to-cell infection and cell-to-cell transmission

X Wang, S Tang, X Song, L Rong - Journal of biological dynamics, 2017 - Taylor & Francis
ABSTRACT HIV can infect cells via virus-to-cell infection or cell-to-cell viral transmission.
These two infection modes may occur in a synergistic way and facilitate viral spread within …

Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay

J Wang, M Guo, X Liu, Z Zhao - Applied Mathematics and Computation, 2016 - Elsevier
The goal of this paper is to study the threshold dynamics of an HIV-1 viral infection model
with cell-mediated immune responses and direct cell-to-cell transmission mechanism. The …

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 …

Mathematical analysis and optimal control for Chikungunya virus with two routes of infection with nonlinear incidence rate

M El Hajji, A Zaghdani, S Sayari - International Journal of …, 2022 - World Scientific
Chikungunya fever, caused by Chikungunya virus (CHIKV) and transmitted to humans by
infected Aedes mosquitoes, has posed a global threat in several countries. In this paper, we …

[HTML][HTML] Stability analysis in delayed within-host viral dynamics with both viral and cellular infections

SS Chen, CY Cheng, Y Takeuchi - Journal of Mathematical Analysis and …, 2016 - Elsevier
We consider a within-host viral model by incorporating (i) mitosis of the healthy target cells
which is described by the logistic term;(ii) two routes of infection via, respectively, binding of …