کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
974863 1480136 2015 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Revisiting node-based SIR models in complex networks with degree correlations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Revisiting node-based SIR models in complex networks with degree correlations
چکیده انگلیسی


• Two growing network models with the addition of new nodes or edges are introduced.
• Network growth may cause the presence of positive or negative degree correlations.
• Two node-based SIR models on correlated networks are revisited.
• The Miller model yields better estimation for disease properties on networks.
• The Miller model may have wider applicability than it should have been.

In this paper, we consider two growing networks which will lead to the degree-degree correlations between two nearest neighbors in the network. When the network grows to some certain size, we introduce an SIR-like disease such as pandemic influenza H1N1/09 to the population. Due to its rapid spread, the population size changes slowly, and thus the disease spreads on correlated networks with approximately fixed size. To predict the disease evolution on correlated networks, we first review two node-based SIR models incorporating degree correlations and an edge-based SIR model without considering degree correlation, and then compare the predictions of these models with stochastic SIR simulations, respectively. We find that the edge-based model, even without considering degree correlations, agrees much better than the node-based models incorporating degree correlations with stochastic SIR simulations in many respects. Moreover, simulation results show that for networks with positive correlation, the edge-based model provides a better upper bound of the cumulative incidence than the node-based SIR models, whereas for networks with negative correlation, it provides a lower bound of the cumulative incidence.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 437, 1 November 2015, Pages 75–88
نویسندگان
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