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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. Huo, Liang'an & Ma, Chenyang, 2017. "Dynamical analysis of rumor spreading model with impulse vaccination and time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 653-665.
    2. 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.
    3. Zhang, Nan & Huang, Hong & Su, Boni & Zhao, Jinlong & Zhang, Bo, 2014. "Dynamic 8-state ICSAR rumor propagation model considering official rumor refutation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 333-346.
    4. 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.
    5. Liu, Qiming & Li, Tao & Sun, Meici, 2017. "The analysis of an SEIR rumor propagation model on heterogeneous network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 372-380.
    6. Zhao, Laijun & Cui, Hongxin & Qiu, Xiaoyan & Wang, Xiaoli & Wang, Jiajia, 2013. "SIR rumor spreading model in the new media age," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 995-1003.
    7. 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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    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. Sang, Chun-Yan & Liao, Shi-Gen, 2020. "Modeling and simulation of information dissemination model considering user’s awareness behavior in mobile social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).

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