  The dissemination of information and the development of public opinion are
essential elements of most social media platforms and are often described as
distinct, man-made occurrences. However, what is often disregarded is the
interdependence between these two phenomena. Information dissemination serves
as the foundation for the formation of public opinion, while public opinion, in
turn, drives the spread of information. In our study, we model the
co-evolutionary relationship between information and public opinion on
heterogeneous multiplex networks. This model takes into account a minority of
individuals with steadfast opinions and a majority of individuals with
fluctuating views. Our findings reveal the equilibrium state of public opinion
in this model and a linear relationship between mainstream public opinion and
extreme individuals. Additionally, we propose a strategy for regulating public
opinion by adjusting the positions of extreme groups, which could serve as a
basis for implementing health policies influenced by public opinion.
