Title :
Stability analysis of SEIQR model in computer networks
Author :
Shao-Ting Ge ; Gong-you Tang ; Xue Yang ; Qi-Lei Xu ; Hao Yu
Author_Institution :
Coll. of Inf. Sci. & Eng., Ocean Univ. of China, Qingdao, China
Abstract :
This paper considers stability analysis of a discrete-time computer SEIQR model in networks. The disease-free equilibrium and the disease equilibrium are first derived from the mathematical model. Then the sufficient condition of stability for the disease-free equilibrium is obtained by the first Lyapunov method. And the sufficient conditions of stability for the disease equilibrium are given by disc theorem. Simulation results demonstrate the effectiveness of the stability conditions.
Keywords :
Lyapunov methods; computer network security; computer viruses; discrete time systems; stability criteria; computer networks; disc theorem; discrete-time computer SEIQR model; disease equilibrium; disease-free equilibrium; first Lyapunov method; mathematical model; stability analysis; sufficient stability condition; Analytical models; Computational modeling; Computer networks; Computers; Diseases; Mathematical model; Stability analysis; SEIQR model; disc theorem; discrete-time systems; stability;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6561309
