This is a simulated epidemic data set of population size = 50 individuals that was generated using a combined distance and network-based SIR individual-level model (ILM) with power-law distance kernel. The model has one binary susceptible covariate and the infectivity rate is given by:
$$\lambda_{jt} = (\alpha_{0} + \alpha_{1}z_{j}) \sum_{i \in I_{t}}{d_{ij}^{-\beta_{1}}+\beta_{2}c_{ij}}$$
The infectious period is assumed to follow an exponential distribution with rate \(\delta\). The epidemic was simulated with the following parameter values: \(\alpha_{0} = 0.008\), \(\alpha_{1} = 0.2\), \(\beta_{1} = 2\), \(\beta_{2} = 0.5\) 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(SpatialNetData)
It is a list of an object of class ``datagen'' that contains the following:
The ``SIR'' compartmental framework.
The ``both'' distance and network kernel functions.
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.