  Though the studies of social contagions are regularly borrowing network
models to study the propagation of social influences and opinions to include
social heterogeneity. Such studies provide valuable insights regarding these,
but the social network structures cannot be well explored in their study. In
this research, we methodically study the trends in online piracy with a
continuous ODE approach and differential equations on graphs, to have a clear
comparative view. We first formulate a compartmental model to mathematically
study bifurcations and thresholds, and later move on with a network-based
analysis to illustrate the proliferation of online piracy dynamic with an
epidemiological approach over a social network. We figure out a solution for
this online piracy problem by developing awareness among individuals by
introducing media campaigns which could be a useful factor for the eradication
and control of online piracy. Next, using degree-block approximation, network
analysis has been performed to investigate the phenomena from a heterogeneous
approach and to derive the threshold condition for the persistence of piracy in
the population in a steady state. Based on the behavioral responses of
individuals in a society due to the effect of media, we examine the system
through the aid of realistic parameter selection to better understand the
complexity of the dynamics and propose control strategies.
