Time Evolution of the Spread of Diseases with a General Infectivity Profile on a Complex Dynamic Network

Abstract

This manuscript introduces a new analytical approach for studying the time evolution of disease spread on a finite size network. Our methodology can accommodate any disease with a general infectivity profile. This new approach is able to incorporate the impact of a general intervention - at the population level - in a number of different ways. Below, we discuss the details of the equations involved and compare the outcomes of analytical calculation against simulation results. We conclude with a discussion of possible extensions of this methodology.

15 pages. 5 figures