Title :
Analysis of a SIRS model with self-protection
Author :
Yu Cao ; Yuanwei Jing ; Feng Yuan ; Xuting Zheng
Author_Institution :
Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China
Abstract :
An improved SIRS model combined with awareness of self-protection based on the existing model with nonlinear incidence according to the fact that the network nodes would take protective measures under virus attack which changed the structure of network was proposed; The asymptotic stability of system under the protective measures was analyzed by Liapunov stability theory; How the protective measures influenced on the spread of virus on uniform network is showed through the compared simulation. By analyzing the improved SIRS models we have obtained that under the non-disease state, self-protection plays less of a role;To the opposite, the self-protection play a big part in epidemic spreading. The final number of infections will be reduced by self-protection under the epidemic state.
Keywords :
Lyapunov methods; diseases; Liapunov stability theory; SIRS model analysis; asymptotic stability; epidemic spreading; epidemic state; network nodes; nondisease state; nonlinear incidence; protective measurement; self-protection; uniform network; virus attack; Analytical models; Asymptotic stability; Complex networks; Educational institutions; Electronic mail; Mathematical model; Stability analysis; SIRS model; asymptotic stability; nonlinear incidence; self-protection; uniform network;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6561620