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The dynamics of an SEIRS-QV malware propagation model in heterogeneous networks

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  • Hosseini, Soodeh
  • Azgomi, Mohammad Abdollahi

Abstract

In this paper, we introduce a new dynamic model of malware propagation in heterogeneous networks based on a rumor diffusion model, which comprises both vaccination and quarantine methods. The proposed model is referred to as the susceptible–exposed–infected–recovered–susceptible with vaccination and quarantine states (SEIRS-QV) model. The model considers the impacts of user awareness, network delay and diverse configuration of nodes to study dynamical behavior of malware propagation. We carry out the systematic analysis of the model and indicate the stability of the malware-free equilibrium. Using numerical simulations, we examine the theoretical analysis. By numerical simulations, we show that our model is appreciably better than other models in terms of reducing malware propagation speed. Furthermore, we investigate many related dynamics properties to make the results more completed.

Suggested Citation

  • Hosseini, Soodeh & Azgomi, Mohammad Abdollahi, 2018. "The dynamics of an SEIRS-QV malware propagation model in heterogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 803-817.
  • Handle: RePEc:eee:phsmap:v:512:y:2018:i:c:p:803-817
    DOI: 10.1016/j.physa.2018.08.081
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    References listed on IDEAS

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    1. Zan, Yongli & Wu, Jianliang & Li, Ping & Yu, Qinglin, 2014. "SICR rumor spreading model in complex networks: Counterattack and self-resistance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 159-170.
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    5. Hernández Guillén, J.D. & Martín del Rey, A. & Hernández Encinas, L., 2017. "Study of the stability of a SEIRS model for computer worm propagation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 411-421.
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    7. Wanduku, Divine, 2017. "Complete global analysis of a two-scale network SIRS epidemic dynamic model with distributed delay and random perturbations," Applied Mathematics and Computation, Elsevier, vol. 294(C), pages 49-76.
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    Cited by:

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    2. Aleja, D. & Contreras-Aso, G. & Alfaro-Bittner, K. & Primo, E. & Criado, R. & Romance, M. & Boccaletti, S., 2022. "A compartmental model for cyber-epidemics," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
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    5. Wenjia Liu & Jian Wang & Yanfeng Ouyang, 2022. "Rumor Transmission in Online Social Networks Under Nash Equilibrium of a Psychological Decision Game," Networks and Spatial Economics, Springer, vol. 22(4), pages 831-854, December.

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