This was a project in collabroation with Rosalba Garcia Millan and Gunnar Pruessner. The results are published on arXiv:2109.00437

Motivation

It is crucial to understand when epidemic spreading will eventually come to a halt or when there is a chance it might continue indefinitely. This is often described using the \(R_0\) factor/number. Additional noise can make the calculation of \(R_0\) and the boundary/critical point where \(R_0=1\) very difficult. In this paper, we examine three types of noise: Ornstein-Uhlenbeck noise, telegraphic noise and noise due to a mix of populations and calculate the corresponding \(R_0=1\) boundary.