The impact of information spreading on epidemic vaccination game dynamics in a heterogeneous complex network- A theoretical approach

•A heterogeneous epidemic model with information spreading and the evolutionary game is regarded.•Imperfect vaccination with partial immunity and intermediate defense measure is presented.•The well-mixed population, Power-law distribution, and Poisson distribution are derived.•Three different adaptation rules are investigated and compared in this paper.•Numerical simulations provide a new insight in controlling the disease into epidemic diffusion on complex network. A modified susceptible-vaccinated-infected-recovered (SIR/V) with unaware-aware (UA) epidemic model in heterogeneous networks is presented to study the effect of information spreading in the spatial structure of the vaccination game on epidemic dynamics. Two layers SIR/V epidemic model is considered to elucidate information spreading, where the fraction of susceptible, vaccinated and infected individuals are parted as unaware and aware state as each susceptible and vaccinated persons are allied with their infected neighbors by a spatial structure, say, an underlying network. The context deduces epidemic vaccination game with awareness influence dynamics in one single season followed by a strategy update process that refer an individual to take imperfect vaccination or not. We considered two different strategy updating rules: individual based risk assessment (IB-RA) and strategy-based risk assessment (SB-RA) to explore how different underlying network topologies, say, random graph and scale free networks, subsequently giving impact on the final epidemic size, vaccination coverage and average social payoff through the effect of information spreading on epidemic. Thus, it can be seen that, awareness can enhance the epidemic threshold effectiveness and lessen the spreading of infection in a scale free network other than random graph and homogeneous network.