Propagation of computer virus under the influences of infected external computers and removable storage media

In reality, a portion of infected external computers could enter the Internet, and removable storage media could carry virus. To our knowledge, nearly all previous models describing the spread of computer virus ignore the combined impact of these two factors. In this paper, a new dynamical model is established based on these facts. A systematic analysis of the model is performed, and it is found that the unique (viral) equilibrium is globally asymptotically stable. Some simulation experiments are also made to justify the model. Finally, a result and some applicable measures for suppressing viral spread are suggested.

[1]  X. Liao,et al.  Stability and Hopf Bifurcation in a Computer Virus Model with Multistate Antivirus , 2012 .

[2]  Seong-Moo Yoo,et al.  Stability analysis of VEISV propagation modeling for network worm attack , 2012 .

[3]  William Hugh Murray,et al.  The application of epidemiology to computer viruses , 1988, Comput. Secur..

[4]  Lu-Xing Yang,et al.  Propagation Behavior of Virus Codes in the Situation That Infected Computers Are Connected to the Internet with Positive Probability , 2012 .

[5]  Chenquan Gan,et al.  Propagation of computer virus both across the Internet and external computers: A complex-network approach , 2014, Commun. Nonlinear Sci. Numer. Simul..

[6]  Lu-Xing Yang,et al.  A novel computer virus model and its dynamics , 2012 .

[7]  Navnit Jha,et al.  SEIQRS model for the transmission of malicious objects in computer network , 2010 .

[8]  Chenquan Gan,et al.  The spread of computer virus under the effect of external computers , 2013 .

[9]  William M. Spears,et al.  A unified prediction of computer virus spread in connected networks , 2002 .

[10]  Bimal Kumar Mishra,et al.  Computer Virus: Theory, Model, and Methods , 2012 .

[11]  Hua Yuan,et al.  Network virus-epidemic model with the point-to-group information propagation , 2008, Appl. Math. Comput..

[12]  Qingyi Zhu,et al.  Optimal control of computer virus under a delayed model , 2012, Appl. Math. Comput..

[13]  Horst R. Thieme,et al.  Asymptotically Autonomous Differential Equations in the Plane , 1993 .

[14]  Jeffrey O. Kephart,et al.  Directed-graph epidemiological models of computer viruses , 1991, Proceedings. 1991 IEEE Computer Society Symposium on Research in Security and Privacy.

[15]  Jiming Liu,et al.  A novel computer virus propagation model and its dynamics , 2012, Int. J. Comput. Math..

[16]  Chenquan Gan,et al.  Epidemics of computer viruses: A complex-network approach , 2013, Appl. Math. Comput..

[17]  Qi Han,et al.  Hopf bifurcation analysis of a delayed viral infection model in computer networks , 2012, Math. Comput. Model..

[18]  Xiaofan Yang,et al.  The spread of computer viruses under the influence of removable storage devices , 2012, Appl. Math. Comput..

[19]  Jeffrey O. Kephart,et al.  Measuring and modeling computer virus prevalence , 1993, Proceedings 1993 IEEE Computer Society Symposium on Research in Security and Privacy.

[20]  Chenquan Gan,et al.  Global Stability of a Computer Virus Propagation Model with Two Kinds of Generic Nonlinear Probabilities , 2014 .

[21]  Lu-Xing Yang,et al.  A mixing propagation model of computer viruses and countermeasures , 2013 .

[22]  Hui Xiong,et al.  Towards controlling virus propagation in information systems with point-to-group information sharing , 2009, Decis. Support Syst..

[23]  R. Robinson,et al.  An Introduction to Dynamical Systems: Continuous and Discrete , 2004 .

[24]  Xiaofan Yang,et al.  The effect of infected external computers on the spread of viruses: A compartment modeling study , 2013 .

[25]  José Roberto Castilho Piqueira,et al.  Dynamic models for computer viruses , 2008, Comput. Secur..

[26]  Xiaofan Yang,et al.  Modeling and analysis of the spread of computer virus , 2012 .

[27]  Lu-Xing Yang,et al.  A computer virus model with graded cure rates , 2013 .

[28]  Bimal Kumar Mishra,et al.  Fixed period of temporary immunity after run of anti-malicious software on computer nodes , 2007, Appl. Math. Comput..

[29]  José Roberto Castilho Piqueira,et al.  A modified epidemiological model for computer viruses , 2009, Appl. Math. Comput..

[30]  Lu-Xing Yang,et al.  Towards the Epidemiological Modeling of Computer Viruses , 2012 .

[31]  Chenquan Gan,et al.  Propagation of Computer Virus under Human Intervention: A Dynamical Model , 2012 .

[32]  Chenquan Gan,et al.  The combined impact of external computers and network topology on the spread of computer viruses , 2014, Int. J. Comput. Math..

[33]  Fred Cohen,et al.  Computer viruses—theory and experiments , 1990 .

[34]  Chenquan Gan,et al.  An epidemic model of computer viruses with vaccination and generalized nonlinear incidence rate , 2013, Appl. Math. Comput..

[35]  Lu-Xing Yang,et al.  A delayed computer virus propagation model and its dynamics , 2012 .

[36]  Chunming Zhang,et al.  A Stochastic Dynamic Model of Computer Viruses , 2012 .

[37]  Bimal Kumar Mishra,et al.  Dynamic model of worms with vertical transmission in computer network , 2011, Appl. Math. Comput..

[38]  Dinesh Kumar Saini,et al.  SEIRS epidemic model with delay for transmission of malicious objects in computer network , 2007, Appl. Math. Comput..

[39]  Xie Han,et al.  Dynamical behavior of computer virus on Internet , 2010, Appl. Math. Comput..

[40]  Chenquan Gan,et al.  A propagation model of computer virus with nonlinear vaccination probability , 2014, Commun. Nonlinear Sci. Numer. Simul..