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The Dynamical Behaviors of a Fractional-Order Malware Propagation Model in Information Networks

Author

Listed:
  • Xueying Shi

    (Department of Mathematics, Taizhou University, Taizhou 225300, China)

  • An Luo

    (Department of Mathematics, Taizhou University, Taizhou 225300, China)

  • Xiaoping Chen

    (Department of Mathematics, Taizhou University, Taizhou 225300, China)

  • Ying Huang

    (Department of Mathematics, Taizhou University, Taizhou 225300, China)

  • Chengdai Huang

    (School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China)

  • Xin Yin

    (Department of Mathematics, Taizhou University, Taizhou 225300, China)

Abstract

With the swift progress in communication and IT, information networks are increasingly integrated into our work and everyday life. This paper is dedicated to the study of the information network dynamics for a newly proposed fractional-order malware propagation model. Guided by the matrix theory of eigenvalues, the local stability criteria for the model described above are investigated. In addition, Hopf bifurcation is under examination with time delay serving as the bifurcation parameter. Numerical simulations are used to validate the accuracy of theoretical outcomes.

Suggested Citation

  • Xueying Shi & An Luo & Xiaoping Chen & Ying Huang & Chengdai Huang & Xin Yin, 2024. "The Dynamical Behaviors of a Fractional-Order Malware Propagation Model in Information Networks," Mathematics, MDPI, vol. 12(23), pages 1-12, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:23:p:3814-:d:1535128
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    References listed on IDEAS

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