In this paper, a reaction–diffusion within-host HIV model is proposed. It incorporates cell
mobility, spatial heterogeneity and cell-to-cell transmission, which depends on the diffusion …

This paper is concerned with the global dynamics of a PDE viral infection model with cell-to-
cell transmission and spatial heterogeneity. The basic reproduction number ℜ 0, which is a …

Caspase-1-mediated pyroptosis is the predominance for driving CD4^++ T cells death.
Dying infected CD4^++ T cells can release inflammatory signals which attract more …

Virus spreading in tissues is determined by virus transport, virus multiplication in host cells
and the virus-induced immune response. Cytotoxic T cells remove infected cells with a rate …

We propose a diffusive viral model incorporating cell‐to‐cell infection mode, nonlinear
incidences, incubation period, and spatial heterogeneity. For the spatially heterogeneous …

The human lymphatic system (HLS) is a complex network of lymphatic organs linked through
the lymphatic vessels. We present a graph theory-based approach to model and analyze the …

Effective combination therapy usually reduces the plasma viral load of HIV to below the
detection limit, but it cannot eradicate the virus. The latently infected cell activation is …

Some deterministic and stochastic models are constructed basing on the same assumptions
about the dynamics of HIV-1 infection. The deterministic model has the form of a system of …

We formulate a novel mathematical model to describe the development of acute HIV-1
infection and the antiviral immune response. The model is formulated using a system of …

Human Immunodeficiency Virus (HIV) infection of humans represents a complex biological
system and a great challenge to public health. Novel approaches for the analysis and …