Analysis of a reaction-diffusion AIDS model with media coverage and population heterogeneity

• DOI: 10.3934/era.2025024
• Publication Date: 2025-01-24T12:25:05Z
• Authors: Xiang Zhang; Tingting Zheng; Yantao Luo; Pengfei Liu

<p>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 coverage. First, we discussed positivity boundedness system solutions. Then, basic reproduction number $ \mathcal{R}_0 was calculated, disease-free equilibrium (DFE), denoted as E^0 $, locally globally asymptotically stable when < 1 $. Further, there existed a unique endemic (EE), E^* which > certain additional conditions were satisfied. In addition, showed that uniformly persistent. Finally, visualization results numerical simulations illustrated that: The shown to mitigate AIDS transmission burden in by lowering infection peak time required reach it; higher awareness conversion rate can effectively reduce curb spread AIDS.</p>