Epidemic thresholds and human mobility

Epidemic threshold

For simplicity, we first compute the epidemic threshold for a system with the same transmission and recovery rates (\(\beta\) and \(\gamma\) respectively) across the N nodes of the system. In the subsequent sections we lift this restriction and analyze more general situations.

As explained in the introduction, we assume that the mobility coefficients \(c_{ij}\) and \(m_{ij}\) are drawn from two arbitrary probability distributions with mean \(\mu _c\) and \(\mu _m\) and variance \(\sigma _c^2\) and \(\sigma _m^2\), respectively. As a consequence, the Jacobian matrix of the…