Please use this identifier to cite or link to this item:
Author(s): José Martins
Nico Stollenwerk
Alberto Pinto
Title: Stationarity in moment closure and quasi-stationarity of the SIS model
Issue Date: 2012
Abstract: Previous epidemiological studies on SIS model have only considered the dynamic evolution of the mean value and the variance of the infected individuals. In this paper, through cumulant neglection, we use the dynamic equations of all the moments of infected individuals to develop a recursive method to compute the equilibria manifold of the moment closure ODE's. Specifically, we use the stable equilibria of the moment closure ODE's to obtain good approximations of the quasi-stationary states of the SIS model. This is a crucial step when the quasi-stationary distribution is highly skewed.
Subject: Matemática
Scientific areas: Ciências exactas e naturais::Matemática
Natural sciences::Mathematics
Document Type: Artigo em Revista Científica Internacional
Rights: openAccess
Appears in Collections:FCUP - Artigo em Revista Científica Internacional

Files in This Item:
File Description SizeFormat 
109082.pdf439.37 kBAdobe PDFThumbnail

This item is licensed under a Creative Commons License Creative Commons