Title :
Analysis of a Mathematical Model for Worm Virus Propagation with Time Delay
Author :
Shaojie, Wang ; Qiming, Liu ; Weining, Ma ; Bo, Dang
Author_Institution :
Dept. of Math., Mech. Eng. Coll., Shijiazhuang, China
Abstract :
Considering the characteristics of the propagation of worm, we can analyze it by epidemic model. In this paper, considering that to re-assembly system and the use of anti-virus software will take a period of time, so we introduce a time-delay to describe this period of time. On this basis, we build a SIDRQ model for Internet worm virus propagation depended on the two-factor model. By using the theory of differential equations, the dynamical properties of the model is analyzed, the regularity of Internet worm virus propagation is gained and numerical simulation is presented. The analysis techniques of the mathematical model provide theoretical foundation of control and forecast for Internet worm.
Keywords :
Internet; computer viruses; delays; differential equations; numerical analysis; Internet; SEDRQ model; anti-virus software; differential equations; mathematical model; numerical simulation; re-assembly system; time delay; worm virus propagation; Computer science; Computer worms; Delay effects; Differential equations; Diseases; Educational institutions; Internet; Mathematical model; Mathematics; Mechanical engineering; SIDRQ; epidemic model; formatting; propagation of worm; re-assembly system; time-delay; two-factor model;
Conference_Titel :
Environmental and Computer Science, 2009. ICECS '09. Second International Conference on
Conference_Location :
Dubai
Print_ISBN :
978-0-7695-3937-9
Electronic_ISBN :
978-1-4244-5591-1
DOI :
10.1109/ICECS.2009.73
