Controlling Virus Spread Using an Intermittent Quarantine Strategy on Multiplex Networks

Xingguo Li,Xiaoping Luo,Yiwu Wang,Anmin Fu

doi:10.1155/2021/8643873

Xingguo Li, Xiaoping Luo + Show 2 more

Open Access

https://doi.org/10.1155/2021/8643873

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Abstract

Virus spreading on the Internet will negatively affect cybersecurity. An intermittent quarantine immunization strategy to control virus spreading when containing information diffusion is proposed herein. In this model, information and virus spread on different subnetworks and interact with each other. We further develop a heterogeneous mean-field approach with time delays to investigate this model and use Monte Carlo simulations to systematically investigate the spreading dynamics. For a relatively short intermittent period, the optimal information transmission probability of the virus will be significantly suppressed. However, when the intermittent period is extremely long; increasing the probability of information transmission can control the virus spreading as well as suppress the increase in the intermittent period. Finally, it is shown that the average degree of the two subnetworks does not qualitatively affect the spreading dynamics.

Highlights

Computer viruses are spreading widely on the Internet, thereby significantly affecting the cyberspace security [1,2,3,4]
Data analyses revealed that the topology of the Internet exhibits the heavy-tail degree distribution [12,13,14]; PastorCSatorras and Vespignani proposed a mathematical susceptible-infected-susceptible (SIS) model on scale-free complex networks [5, 15]. ey used a heterogeneous mean-field theory to describe the dynamics and revealed that a few hubs resulted in vanishingly low values of infection transmission probability that triggered virus spreading on the Internet
We proposed an interacting virus-information spreading dynamics model for multiplex networks, in which a node receiving information is intermittently quarantined for a specified period. e spreading dynamics were described using a time-delay heterogeneous mean-field approach

Summary

Introduction

Computer viruses are spreading widely on the Internet, thereby significantly affecting the cyberspace security [1,2,3,4]. Ey used a heterogeneous mean-field theory to describe the dynamics and revealed that a few hubs resulted in vanishingly low values of infection transmission probability that triggered virus spreading on the Internet. Based on this finding, we can design an effective approach to control virus spread. We assume that the susceptible node in subnetwork B adopts an intermittent quarantine strategy to control virus spread. According to the above descriptions, the differences between the information diffusion and virus spreading are listed as follows: (i) different dynamical parameters, i.e., transmission and recovery probabilities, and (ii) an addition intermittent quarantine state is induced in the virus spreading.

Model Descriptions

Conclusions