The SI epidemiological model with interactive fuzzy parameters

Author

Cabral, Valtemir M. ; Barros, Laécio C.

Author_Institution

Dept. of Math., UFAM, Manaus, Brazil

fYear

2012

fDate

6-8 Aug. 2012

Firstpage

1

Lastpage

4

Abstract

We study the SI epidemiological model in two distinct ways, one considering correlation between the numbers of susceptible and infected individuals, and another assuming that the initial conditions and the transmission rate are interactive. In both cases we assume uncertainties given by fuzzy sets. Interactivity is based on the concept of completely correlated fuzzy numbers. The dynamics of each model is represented by fuzzy differential equations (FDE) approached in two ways: the first using the theory of fuzzy differential inclusion and the second using Zadeh´s extension principle to obtain a solution. We found that both produce the same solution.

Keywords

differential equations; diseases; fuzzy set theory; SI epidemiological model; Zadeh extension principle; correlated fuzzy numbers; fuzzy differential equations; fuzzy differential inclusion; fuzzy sets; interactive fuzzy parameters; Differential equations; Equations; Joints; Mathematical model; Silicon; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Information Processing Society (NAFIPS), 2012 Annual Meeting of the North American

Conference_Location

Berkeley, CA

ISSN

pending

Print_ISBN

978-1-4673-2336-9

Electronic_ISBN

pending

Type

conf

DOI

10.1109/NAFIPS.2012.6290991

Filename

6290991