Heterogeneous virus propagation in networks

A theoretical study

Journal article (2017)

Authors

L. Yang Network Architectures and Services - EEMCS , Chongqing University
Moez Draief Imperial College London
Xiaofan Yang Chongqing University
Research Group
Network Architectures and Services (EEMCS) (TU Delft)
Stability Networks Electronic virus Node-based epidemic model
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Published Date

2017

Language

English

Reuse Rights

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Quantum & Computer Engineering

Research Group

Network Architectures and Services

Abstract

The node-based epidemic modeling is an effective approach to the understanding of the impact of the structure of the propagation network on the epidemics of electronic virus. In view of the heterogeneity of the propagation network, a heterogeneous node-based SIRS model is proposed. Theoretical analysis shows that the maximum eigenvalue of a matrix related to the model determines whether viruses tend to extinction or persist. When viruses persist, the connectedness of the propagation network implies the existence and uniqueness of a viral equilibrium, and a set of sufficient conditions for the global stability of the viral equilibrium are given. Numerical examples verify the correctness of our results.

Files

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