Data from: Theory of infectious disease spillover at an ecological boundary: Impacts of seasonality and cross-boundary movement

Ecological boundaries are a key site for the spillover of wildlife
pathogens into human and domestic livestock populations. Ebola virus is a
zoonotic pathogen that is periodically introduced into humans causing
outbreaks of a highly fatal hemorrhagic disease. There is evidence that
spillover risk varies seasonally. Here we hypothesize that this
seasonality may be due to periodic variations in pathogen-host
interactions, host social behaviors, movement and contact rates, and
demography. To better understand the dynamics of such a system, we studied
a two-patch SIR compartmental model for the spillover of Ebola virus with
seasonal and demographic variability. The model is expressed as a system
of coupled ordinary differential equations (ODE) with periodic disease
transmission and dispersal between supercritical and subcritical patches.
The periodic ODE system is generalized to a stochastic Continuous-Time
Markov Chain (CTMC) model. The basic reproduction number of the two-patch
SIR model is derived at the disease-free equilibrium to illustrate the
impact of seasonality and movement on Ebola virus outbreaks. Several
numerical examples are investigated. We find that the seasonality strength
and human movement are two potentially leading factors that are
responsible for the intensity of periodic spillover risk from pathogen
reservoirs to human settlement regions.