The epidemiological impact of media campaigns on the dynamics of HIV transmission model

In this paper, we present a comprehensive HIV transmission model that incorporates the influence of media campaigns. Our model aims to explore the relationship between media campaigns and disease spread by deriving the basic reproduction number, a critical indicator of HIV transmission. To gain deeper insights into the dynamics of the model, we conduct a thorough bifurcation analysis using center-manifold theory, establishing the necessary conditions for the occurrence of a backward bifurcation. The obtained results are then numerically validated and extensively discussed, providing valuable insight into both the mathematical and epidemiological implications of the model. In addition, we perform numerical simulations to offer a more detailed understanding of the intricate dynamics involved in HIV transmission. Moreover, we conduct sensitivity analysis using Latin hypercube sampling (LHS), which underscores the significant role of the effective contact rate in driving the proliferation of the HIV epidemic. These findings not only contribute to a better understanding of the complex dynamics underlying HIV transmission but also emphasize the crucial impact of media campaigns in effectively controlling and managing the epidemic. By highlighting the interplay between media campaigns and disease spread, our study provides valuable insights that can inform public health strategies and interventions for combating HIV transmission.