Modeling the dynamics of a network-based model of virus attacks on targeted resources

Abstract This paper extends a homogenous network model proposed by Haldar and Mishra (2014) into a heterogeneous one by taking into consideration the topology property of the Internet. The dynamics of this new model are investigated by studying the stability of its equilibria using mathematical methods. The qualitative analyses show that, because of the effect of the Internet topology, the results of the model exhibit several distinct features as compared to those of the original model. Some numerical experiments are also conducted to account for the potential scenarios of the model.

[1]  Lu-Xing Yang,et al.  A new epidemic model of computer viruses , 2014, Commun. Nonlinear Sci. Numer. Simul..

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

[3]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[4]  Alessandro Vespignani,et al.  Dynamical Patterns of Epidemic Outbreaks in Complex Heterogeneous Networks , 1999 .

[5]  Alessandro Vespignani,et al.  Epidemic dynamics and endemic states in complex networks. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Suleyman Kondakci Epidemic state analysis of computers under malware attacks , 2008, Simul. Model. Pract. Theory.

[7]  Bimal Kumar Mishra,et al.  A mathematical model for a distributed attack on targeted resources in a computer network , 2014, Commun. Nonlinear Sci. Numer. Simul..

[8]  Jianguo Ren,et al.  Investigation of dynamics of a virus–antivirus model in complex network , 2015 .

[9]  Alessandro Vespignani,et al.  Velocity and hierarchical spread of epidemic outbreaks in scale-free networks. , 2003, Physical review letters.

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

[11]  Stephen Gilmore,et al.  Analysing distributed Internet worm attacks using continuous state-space approximation of process algebra models , 2008, J. Comput. Syst. Sci..

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

[13]  Kostas S. Metaxiotis,et al.  A global-local approach for estimating the Internet's threat level , 2014, Journal of Communications and Networks.

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

[15]  Mark E. J. Newman,et al.  The Structure and Function of Complex Networks , 2003, SIAM Rev..