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

fYear

2006

fDate

7-11 Aug. 2006

Firstpage

195

Lastpage

199

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2006. CCC 2006. Chinese

Conference_Location

Harbin

Print_ISBN

7-81077-802-1

Type

conf

DOI

10.1109/CHICC.2006.280892

Filename

4060440

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3214174