Stationarity in moment closure and quasi-stationarity of the SIS model

• Type: Article in International Scientific Journal
• Date: 2012

Authors

José Martins (Author) Other; Nico Stollenwerk (Author) Other; Alberto Pinto (Author) FCUP

Journal

Title: Mathematical Biosciences

Vol. 236

Pages: 126-131

ISSN: 0025-5564

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 2 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-002-BD7

DOI: 10.1016/j.mbs.2012.02.001

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6