Dynamics and Classification of a Spatial Diffusion HIV Latent Infection Model in Closed Advective Environments

ABSTRACT

In this article, we investigate the infection dynamics of HIV using a reaction‐advection‐diffusion model in closed, spatially heterogeneous environments. We first determine the threshold behavior of the system based on the basic reproduction number . Subsequently, by analyzing the monotonicity and asymptotic properties of with respect to the advection rate , the diffusion rate and HIV burst size, we further classify the complex dynamics of the system in the plane. Our results highlight that spatial factor, advection rate, diffusion rate, and HIV burst size significantly impact HIV infection dynamics within the host, making the outcomes far more complex than those observed in homogeneous settings. Finally, we perform some numerical simulations to illustrate the theoretical results. Our findings highlight that a comprehensive consideration of the impacts of fluid circulation, diffusion, and HIV burst size on the viral replication (infection) process is essential. This holistic approach can significantly enhance the effectiveness of controlling the viral load within the host.