Abstract
Information spreading on multiplex complex networks has been widely concerned. In reality, the constraints of inelastic resources, such as energy, time, money, and an individual's restrict contact capacities, can affect the information spreading process. In this paper, we propose an information spreading model with limited contact capacity on the two-layered multiplex network. In order to quantitatively study the information spreading, we adopt an edge-based compartmental theory. We find that increasing the contact capacity facilitates information spreading. If the multiplex networks with strong heterogeneous degree distributions, the information outbreak size grows continuously with the transmission probability. However, when the information spreads on multiplex networks with homogeneous or heterogeneous degree distributions, there exists a crossover phenomenon, in which the information outbreak size versus the transmission probability can grow continuously or discontinuously. Our theory agrees well with the numerical simulations.
Highlights
Information spreading on complex networks is an important subject in studying the spreading dynamics on complex networks, which aims at investigating the mechanism and laws of information diffusion [1], innovation adoption [2], healthy behavior [3]–[5] and financial behavior [6]
Due to the limitation of resources, energy, and other factors, information spreading on social networks will be affected
We propose an information transmission model with limited contact capacity on the twolayer network and an edge-based compartmental theory to analyze the impact of information transmission from both simulation and theoretical perspectives
Summary
Information spreading on complex networks is an important subject in studying the spreading dynamics on complex networks, which aims at investigating the mechanism and laws of information diffusion [1], innovation adoption [2], healthy behavior [3]–[5] and financial behavior [6]. Researchers have explored many potential factors that may affect information spreading on complex networks, including node’s attributes [7]–[10], edge’s attributes [11], [12], community structure [13]–[16], and coreness [17]. Limited contacts and network multiplicity are two crucial factors that markedly affect the information spreading. Existing studies revealed that individuals are always limited by some inelastic resources, such as energy, time, and funds, which restrict their social contact capacities [18]–[21]. Individuals can only communicate with a finite number of neighbors during a short period.
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