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 …

In this paper, we investigate a diffusive host–pathogen model with heterogeneous
parameters and distinct dispersal rates for the susceptible and infected hosts. We first prove …

The basic reproduction number R_0 serves as a threshold parameter of many epidemic
models for disease extinction or spread. The purpose of this paper is to investigate R_0 for …

In this work, we investigate the global dynamics of a controlled discontinuous diffusive SIR
epidemic system under Neumann boundary conditions. We first establish the conditions for …

In this paper, we derive and analyze an HIV infection model containing a fixed latent period
and both cell-free and cell-to-cell transmissions. The model is described by a spatially non …

In this paper, we study a reaction–diffusion vector-host epidemic model. We define the basic
reproduction number R 0 and show that R 0 is a threshold parameter: if the disease free …

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 …

This paper investigates the stability and instability of a generalized reaction-diffusion-
advection system, which describes a cross-talk between antigens and immune cells via …

A mathematical model for virus infection dynamics with absorption effect and chemotaxis is
proposed to study the repulsion effect on superinfecting virions by infected cells. The basic …

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