Title :
Impulsive Control of the Spread of Worms
Author :
Tao Li ; Zhihong Guan
Author_Institution :
Dept. of Control Sci. & Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China
Abstract :
A SIR epidemic model with dynamic input-output property is presented. The dynamics of this model under pulse control are analyzed which we referred to as the worms propagation with impulsive control (WPIC) model. For the WPIC model we established the conditions and threshold to the existence of the disease-free T-periodic solution and proved that the disease-free T-periodic solution is globally asymptotically stable.
Keywords :
asymptotic stability; invasive software; sampled data systems; telecommunication control; SIR epidemic model; asymptotic stability; disease-free T-periodic solution; pulse control; worms propagation with impulsive control; Asymptotic stability; Computer viruses; Computer worms; Costs; Electronic mail; Immune system; Internet; Power system security; Telecommunication traffic; Traffic control; Epidemiological model; Globally asymptotically stability; Impulsive differential inequality; WPIC model;
Conference_Titel :
Control Conference, 2006. CCC 2006. Chinese
Conference_Location :
Harbin
Print_ISBN :
7-81077-802-1
DOI :
10.1109/CHICC.2006.280892
