  Here we developed a new conceptual, stochastic Heterogeneous Opinion-Status
model (HOpS model), which is adaptive network model. The HOpS model admits to
identify the main attributes of dynamics on networks and to study analytically
the relation between topological network properties and processes taking place
on a network. Another key point of the HOpS model is the possibility to study
network dynamics via the novel parameter of heterogeneity. We show that not
only clear topological network properties, such as node degree, but also, the
nodes' status distribution (the factor of network heterogeneity) play an
important role in so-called opinion spreading and information diffusion on a
network. This model can be potentially used for studying the co-evolution of
globally aggregated or averaged key observables of the earth system. These
include natural variables such as atmospheric, oceanic and land carbon stocks,
as well as socio-economic quantities such as global human population, economic
production or wellbeing.
