Modelling and Analysis of Propagation Behavior of Computer Viruses with Nonlinear Countermeasure Probability and Infected Removable Storage Media

The dissemination of countermeasures is diffusely recognized as one of the most valid strategies of containing computer virus diffusion. In order to better understand the impacts of countermeasure and removable storage media on viral spread, this paper addresses a dynamical model, which incorporates nonlinear countermeasure probability and infected removable storage media. Theoretical analysis reveals that the unique (viral) equilibrium of the model is globally asymptotically stable. This main result is also illustrated by some numerical experiments. Additionally, the numerical experiments of different countermeasure probabilities are conducted.

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

[2]  Chenquan Gan,et al.  Analysis of computer virus propagation behaviors over complex networks: a case study of Oregon routing network , 2020 .

[3]  Chunming Zhang,et al.  Hopf Bifurcation of an Improved SLBS Model under the Influence of Latent Period , 2013 .

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

[5]  Alberto d’Onofrio,et al.  A note on the global behaviour of the network-based SIS epidemic model , 2008 .

[6]  Zizhen Zhang,et al.  A Delayed Epidemic Model for Propagation of Malicious Codes in Wireless Sensor Network , 2019, Mathematics.

[7]  Amit K. Awasthi,et al.  Modeling and Analysis of Worm Propagation in Wireless Sensor Networks , 2017, Wireless Personal Communications.

[8]  Chenquan Gan,et al.  Global attractivity and optimal dynamic countermeasure of a virus propagation model in complex networks , 2018 .

[9]  J. Amador.  The stochastic SIRA model for computer viruses , 2014, Appl. Math. Comput..

[10]  Fu-xiang Gao,et al.  Analysis of a Delayed Internet Worm Propagation Model with Impulsive Quarantine Strategy , 2014 .

[11]  Jianguo Ren,et al.  Stability and Bifurcation of a Computer Virus Propagation Model with Delay and Incomplete Antivirus Ability , 2014 .

[12]  Chenquan Gan,et al.  Dynamical Propagation Model of Malware for Cloud Computing Security , 2020, IEEE Access.

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

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

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

[16]  Feng Xia,et al.  Community-diversified influence maximization in social networks , 2020, Inf. Syst..

[17]  Jianxin Li,et al.  Influence Propagation Model for Clique-Based Community Detection in Social Networks , 2018, IEEE Transactions on Computational Social Systems.

[18]  Kathleen M. Carley,et al.  The impact of countermeasure propagation on the prevalence of computer viruses , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[19]  Haitao Huang,et al.  Optimal control strategy for a novel computer virus propagation model on scale-free networks , 2016 .

[20]  Horst R. Thieme,et al.  Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations , 1992 .

[21]  David J. Marchette,et al.  Modeling computer virus prevalence with a susceptible-infected-susceptible model with reintroduction , 2004, Comput. Stat. Data Anal..

[22]  Li-Ping Feng,et al.  Modeling and Stability Analysis of Worm Propagation in Wireless Sensor Network , 2015 .

[23]  Shouming Zhong,et al.  Web malware spread modelling and optimal control strategies , 2017, Scientific Reports.