Abstract
Virus and information spreading dynamics widely exist in complex systems. However, systematic study still lacks for the interacting spreading dynamics between the two types of dynamics. This paper proposes a mathematical model on multiplex networks, which considers the heterogeneous susceptibility and infectivity in two subnetworks. By using a heterogeneous mean-field theory, we studied the dynamic process and outbreak threshold of the system. Through extensive numerical simulations on artificial networks, we find that the virus’s spreading dynamics can be suppressed by increasing the information spreading probability, decreasing the protection power, or decreasing the susceptibility and infectivity.
Highlights
Coevolution spreading dynamics, ranging from cyberspace security to epidemic contagions, widely exist in the natural systems, in which there are at least two spreading dynamics evolving and interacting simultaneously [1, 2]
The virus’s information is always spreading on the social network when a computer virus spreads on the Internet. e users whose computers are not infected by the virus will install antivirus software and patches to protect their computers from being infected by the virus [3,4,5,6]
Using a bond percolation theory, he revealed that a global outbreak of the second virus is possible only if the susceptible nodes form a large cluster of connections and the outbreak threshold of the second virus is much higher than the threshold of the first
Summary
Coevolution spreading dynamics, ranging from cyberspace security to epidemic contagions, widely exist in the natural systems, in which there are at least two spreading dynamics evolving and interacting simultaneously [1, 2]. When a global pandemic was spreading, various kinds of information about the pandemic, such as protecting healthy individuals from infection, spreading on social networks will suppress the pandemic [7,8,9]. Newman [10] studied two viruses spreading on the same computer network in succession, where the two viruses follow the susceptibleinfected-recovered model, and the second virus can only infect the remaining susceptible nodes. Based on the research framework in Reference [8], researchers studied the global information [8], network topology [28, 29], and different interacting mechanisms [30, 31] on the virus spreading.
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