Stability analysis and observer design for discrete-time SEIR epidemic models


Autoria(s): Ibeas Hernández, Asier; De la Sen Parte, Manuel; Alonso Quesada, Santiago; Zamani, Iman
Data(s)

18/04/2016

18/04/2016

17/04/2015

Resumo

This paper applies Micken's discretization method to obtain a discrete-time SEIR epidemic model. The positivity of the model along with the existence and stability of equilibrium points is discussed for the discrete-time case. Afterwards, the design of a state observer for this discrete-time SEIR epidemic model is tackled. The analysis of the model along with the observer design is faced in an implicit way instead of obtaining first an explicit formulation of the system which is the novelty of the presented approach. Moreover, some sufficient conditions to ensure the asymptotic stability of the observer are provided in terms of a matrix inequality that can be cast in the form of a LMI. The feasibility of the matrix inequality is proved, while some simulation examples show the operation and usefulness of the observer.

Identificador

Advances in Difference Equations 2015 : (2015) // Article ID 122

1687-1847

http://hdl.handle.net/10810/17933

10.1186/s13662-015-0459-x

Idioma(s)

eng

Publicador

Springer International Publishing

Relação

http://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-015-0459-x#Abs1

Direitos

© 2015 Ibeas et al.; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited.

info:eu-repo/semantics/openAccess

Palavras-Chave #epidemics #SEIR #discrete models #stability #observer design #global stability #transmission #bifurcation #controller #disease #delay
Tipo

info:eu-repo/semantics/article