Estimating thresholds for the contact process with permanent immunity on complex networks

IF 2.8 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Physica A: Statistical Mechanics and its Applications Pub Date : 2024-10-28 DOI:10.1016/j.physa.2024.130183
D.S.M. Alencar , T.F.A. Alves , F.W.S. Lima , R.S. Ferreira , G.A. Alves , A. Macedo-Filho
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引用次数: 0

Abstract

We present an improvement in estimating the epidemic threshold for a modified susceptible-infected-removed model. We applied the pair heterogeneous mean-field theory on heterogeneous quenched networks. Our theoretical results are compared with extensive Monte Carlo simulations concerning the model dynamics on random regular and power-law networks. The epidemic thresholds obtained using pair heterogeneous mean-field theory agree with simulation results. We analyze the critical scaling of the model as well. At last, epidemic outbreaks emerge for infective probabilities above the critical threshold.
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估算复杂网络永久免疫接触过程的阈值
我们提出了一种改进方法,可用于估计修改后的易感-感染-移除模型的流行阈值。我们将一对异质平均场理论应用于异质淬火网络。我们将理论结果与有关随机规则网络和幂律网络上模型动态的大量蒙特卡罗模拟进行了比较。利用异质均场理论得出的流行阈值与模拟结果一致。我们还分析了模型的临界缩放。最后,当感染概率高于临界阈值时,疫情就会爆发。
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来源期刊
CiteScore
7.20
自引率
9.10%
发文量
852
审稿时长
6.6 months
期刊介绍: Physica A: Statistical Mechanics and its Applications Recognized by the European Physical Society Physica A publishes research in the field of statistical mechanics and its applications. Statistical mechanics sets out to explain the behaviour of macroscopic systems by studying the statistical properties of their microscopic constituents. Applications of the techniques of statistical mechanics are widespread, and include: applications to physical systems such as solids, liquids and gases; applications to chemical and biological systems (colloids, interfaces, complex fluids, polymers and biopolymers, cell physics); and other interdisciplinary applications to for instance biological, economical and sociological systems.
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