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

Xueying Shi, An Luo, Xiaoping Chen (), Ying Huang, Chengdai Huang and Xin Yin
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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

Mathematics, 2024, vol. 12, issue 23, 1-12

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.

Keywords: malware propagation model; fractional-order; Hopf bifurcation; time delay; information networks (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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