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

作者：Xueying Shi, An Luo, Xiaoping Chen, Ying Huang, Chengdai Huang, Xin Yin · 发表于：Mathematics · 年份：2024 · DOI：10.3390/math12233814 · 被引用次数：6 · 研究领域：Mathematical and Theoretical Epidemiology and Ecology Models、Opinion Dynamics and Social Influence、Complex Network Analysis Techniques

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.