Title :
Mathematical model of discrete logic bomb with time-delay in the computer networks
Author :
Shao-Ting Ge ; Zhimin Liu ; Aiying Mao ; Lijuan Kang ; Chunhua He
Author_Institution :
Coll. of Software Tecnical, Qingdao Univ., Qingdao, China
Abstract :
In order to describe the dynamic characteristic of logic bomb virus in computer networks, the mathematical model of discrete logic bomb viruses is established. Firstly the disease-free equilibrium and the disease equilibrium are derived from the mathematical model. Then the asymptotic stability of the disease-free equilibrium is proved. And then the asymptotically stable conditions of the disease equilibrium is given by using the disc theorem. And the stable conditions are effective.
Keywords :
computer network security; computer viruses; delays; asymptotically stable conditions; computer networks; disc theorem; discrete logic bomb viruses; disease equilibrium; disease-free equilibrium; mathematical model; time-delay; Analytical models; Asymptotic stability; Computational modeling; Computers; Diseases; Mathematical model; Weapons; disc theorem; discrete systems; logic bomb virus; stability; time-delay;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7162011
