Title :
Stability of SEIR system with random perturbations
Author :
Meng, Xiao-ying ; Deng, Fei-qi ; Peng, Yun-Jian
Author_Institution :
Coll. of Autom. Sci. & Eng., South China Univ. of Technol., Guangzhou, China
Abstract :
In this paper, an epidemiological SEIR system with or without distributed time delay influenced by random perturbations is investigated. By constructing Lya-punov functions and applying Itô´s formula, the stability of the disease-free equilibrium is studied. Moreover, numerical simulations are presented to illustrate the correctness of the proposed methods.
Keywords :
Lyapunov methods; delay systems; diseases; epidemics; perturbation techniques; stability; Itô´s formula; Lyapunov function; disease-free equilibrium stability; distributed time delay; epidemiological SEIR system stability; numerical simulation; random perturbation; Itô´s formula; Stability; Stochastic;
Conference_Titel :
Machine Learning and Cybernetics (ICMLC), 2010 International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-1-4244-6526-2
DOI :
10.1109/ICMLC.2010.5580967
