The Higher Moments Dynamic on SIS Model

• Type: Article in International Conference Proceedings Book
• Date: 2009

Authors

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

Conference proceedings International

Title: NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2

Pages: 1527-1530

International Conference on Numerical Analysis and Applied Mathematics

Rethymno, GREECE, SEP 18-22, 2009

Indexing

ISI Web of Knowledge - 3 Citations

Scopus - 3 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-003-RGK

DOI: 10.1063/1.3241390

Abstract (EN): The basic contact process or the SIS model is a well known epidemic process and have been studied for a wide class of people. In an epidemiological context, many authors worked on the SIS model considering only the dynamic of the first moments of infecteds, i.e., the mean value and the variance of the infected individuals. In this work, we study not only the dynamic of the first moments of infecteds but also on the dynamic of the higher moments. Recursively, we consider the dynamic equations for all the moments of infecteds and, applying the moment closure approximation, we obtain the stationary states of the state variables. We observe that the stationary states of the SIS model, in the moment closure approximation, can be used to obtain good approximations of the quasi-stationary states of the SIS model.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 4