Figure 1
Representation of the infection (a) and opinion (b) dynamics of the model occurring on the physical and social layers of the 2-layer network, respectively. (a) Effective contacts occur between susceptible \(S\) and infected \(I\) agents with probability \(p\) per time step (\(1\) week). Upon deciding to vaccinate (with probability \({{\mathbb{P}}}_{n}(N\to {V}_{s})\)), a susceptible agent \(n\) becomes physically vaccinated (\(S\to {V}_{p}\)). Infection lasts \(\ell =2\) weeks after which agents recover (\(I\to R\)). Upon death (with probability \(\mu \) per week), an agent is “rebirthed” with either vaccinated (probability \(\alpha \cdot \mu \)) or susceptible (probability \(\mathrm{(1}-\alpha )\cdot \mu \)) status. (b) Per time step, each agent switches between pro- (\({V}_{s}\)) and anti-vaccine (\(N\)) opinion with probabilities \({{\mathbb{P}}}_{n}(N\to {V}_{s})\) and \({{\mathbb{P}}}_{n}({V}_{s}\to N)\) respectively upon interaction with a dissenting neighbour. \(\alpha \) gives the probability of being birthed with pro-vaccine opinion \({V}_{s}\).
