Dynamics of contact epidemic models for finite populations
Abstract
We study contact epidemic models for the spread of infective diseases in finite populations. The size dependence enters in the infection rate. The dynamics of such models is then analyzed within the deterministic approximation, as well as in terms of a stochastic formulation. At the level of the deterministic equations, we deduce relations between the parameters of the model for the disease to become endemic. Within the stochastic formulation, it is possible to write recursion relations for the probability distribution, that lead to exact expression for some of its moments and check the validity of the stochastic threshold theorems.
Keywords
Cite
@article{arxiv.2004.02144,
title = {Dynamics of contact epidemic models for finite populations},
author = {Ph. Blanchard and S. Nicolis},
journal= {arXiv preprint arXiv:2004.02144},
year = {2020}
}
Comments
17 pages, LaTeX, 6 PNG figures. Uses utphys.bst for the references. LaTeX version of the paper produced in 1992. Original scanned version available here: https://cds.cern.ch/record/1057211/files/CM-P00066955.pdf