@article{Zhang2025, 
author = {Xiang Zhang and Tingting Zheng and Yantao Luo and Pengfei Liu},
title = {Analysis of a reaction-diffusion AIDS model with media coverage and population heterogeneity},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {1},
pages = {513-536},
keywords = {AIDS model, reaction-diffusion, media coverage, population heterogeneity, awareness conversion},
url = {https://www.sciopen.com/article/10.3934/era.2025024},
doi = {10.3934/era.2025024},
abstract = {Considering the influence of population heterogeneity, media coverage and spatial diffusion on disease transmission, this paper investigated an acquired immunodeficiency syndrome (AIDS) reaction-diffusion model with nonlinear incidence rates and media coverage. First, we discussed the positivity and boundedness of system solutions. Then, the basic reproduction number              R        0   was calculated, and the disease-free equilibrium (DFE), denoted as        E    0  , was locally and globally asymptotically stable when              R        0    <  1. Further, there existed a unique endemic equilibrium (EE), denoted as        E    ∗  , which was locally and globally asymptotically stable when              R        0    >  1 and certain additional conditions were satisfied. In addition, we showed that the disease was uniformly persistent. Finally, the visualization results of the numerical simulations illustrated that: The media coverage was shown to mitigate the AIDS transmission burden in the population by lowering the infection peak and the time required to reach it; a higher awareness conversion rate can effectively reduce the basic reproduction number              R        0   to curb the spread of AIDS.}
}