State feedback impulsive control of computer worm and virus with saturated incidence

作者: Meng Zhang , , Kaiyuan Liu , Lansun Chen , Zeyu Li

DOI: 10.3934/MBE.2018067

关键词:

摘要: A state feedback impulsive model is set up to discuss the spreading and control of computer worm virus. Considering transmission features, saturated infectious adopted describe in model, all treatment measures, such as patching operating system updating antivirus software, are assumed take effect instantly. Then analyzed with a novel method, existence stability order-1 limit cycle discussed. Finally, numerical simulation listed verify result paper.

参考文章(26)
Chunjin Wei, Lansun Chen, Homoclinic bifurcation of prey–predator model with impulsive state feedback control Applied Mathematics and Computation. ,vol. 237, pp. 282- 292 ,(2014) , 10.1016/J.AMC.2014.03.124
Yuan Tian, Kaibiao Sun, Lansun Chen, Original article: Modelling and qualitative analysis of a predator-prey system with state-dependent impulsive effects Mathematics and Computers in Simulation. ,vol. 82, pp. 318- 331 ,(2011) , 10.1016/J.MATCOM.2011.08.003
Zuxiong Li, Lansun Chen, Zhijun Liu, Periodic solution of a chemostat model with variable yield and impulsive state feedback control Applied Mathematical Modelling. ,vol. 36, pp. 1255- 1266 ,(2012) , 10.1016/J.APM.2011.07.069
BING LIU, YE TIAN, BAOLIN KANG, DYNAMICS ON A HOLLING II PREDATOR–PREY MODEL WITH STATE-DEPENDENT IMPULSIVE CONTROL International Journal of Biomathematics. ,vol. 05, pp. 1260006- ,(2012) , 10.1142/S1793524512600066
A. M. Elaiw, R. M. Abukwaik, E. O. Alzahrani, Global properties of a cell mediated immunity in HIV infection model with two classes of target cells and distributed delays International Journal of Biomathematics. ,vol. 07, pp. 1450055- ,(2014) , 10.1142/S1793524514500557
Ezzat Kirmani, Cynthia S. Hood, Analysis of a scanning model of worm propagation Journal in Computer Virology. ,vol. 6, pp. 31- 42 ,(2010) , 10.1007/S11416-008-0111-3
Daniel A. Ray, Charles B. Ward, Bogdan Munteanu, Jonathan Blackwell, Xiaoyan Hong, Jun Li, Investigating the impact of real-world factors on internet worm propagation international conference on information systems security. pp. 10- 24 ,(2007) , 10.1007/978-3-540-77086-2_2
Cliff C. Zou, Don Towsley, Weibo Gong, On the performance of internet worm scanning strategies Performance Evaluation. ,vol. 63, pp. 700- 723 ,(2006) , 10.1016/J.PEVA.2005.07.032