This is a simulated epidemic data set of population size = 50 individuals that was generated using a network-based SIR individual-level model (ILM) with a contact network that was generated using the power-law model with parameters \(\beta=1.8\) and \(\alpha=1\). The model has one binary susceptible covariate and the infectivity rate is given by:
$$\lambda_{jt} = (\alpha_{0} + \alpha_{1}z_{j}) \sum_{i \in I_{t}}{c_{ij}}$$
The infectious period follows a gamma distribution \(\Gamma(4,\delta)\). The epidemic was simulated with the following parameter values: \(\alpha_{0} = 0.08\), \(\alpha_{1} = 0.5\) and \(\delta=2\).
The data set file is a list of an object of class "datagen" that contains of type, kerneltype, epidat, location and network, and the covariate matrix.
data(NetworkData)It is a list of an object of class ``datagen'' that contains the following:
The ``SIR'' compartmental framework.
The ``network'' kernel function.
A matrix of the simulated epidemic with four columns as: the id numbers of individuals, removal times, infectious periods, and infection times.
A matrix of the XY coordinates of individuals.
The undirected binary contact network matrix.
and a \(50 \times 2\) matrix of the covariates represents the unity intercept and the binary covariate z.