Distribution of infected mass in disease spreading in scale-free networks

Lazaros K. Gallos; Panos Argyrakis

doi:10.1016/j.physa.2003.08.002

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arXiv · cond-mat/0301322

Distribution of infected mass in disease spreading in scale-free networks

Lazaros K. Gallos·Panos Argyrakis

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Abstract

We use scale-free networks to study properties of the infected mass $M$ of the network during a spreading process as a function of the infection probability $q$ and the structural scaling exponent $γ$. We use the standard SIR model and investigate in detail the distribution of $M$, We find that for dense networks this function is bimodal, while for sparse networks it is a smoothly decreasing function, with the distinction between the two being a function of $q$. We thus recover the full crossover transition from one case to the other. This has a result that on the same network a disease may die out immediately or persist for a considerable time, depending on the initial point where it was originated. Thus, we show that the disease evolution is significantly influenced by the structure of the underlying population.

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BibTeX RIS

Lazaros K. Gallos, Panos Argyrakis. 2003-03-18. Distribution of infected mass in disease spreading in scale-free networks. https://doi.org/10.1016/j.physa.2003.08.002

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