Santos F L, Almeida M L, Albuquerque E L, Macedo-Filho A, Lyra M L, Fulco U L
Departamento de Biofísica e Farmacologia, Universidade Federal do Rio Grande do Norte, 59072-970, Natal-RN, Brazil.
Universidade Estadual do Piauí, 64260-000, Piripiri-PI, Brazil.
Physica A. 2020 Dec 1;559:125067. doi: 10.1016/j.physa.2020.125067. Epub 2020 Aug 14.
The spreading of epidemics in complex networks has been a subject of renewed interest of several scientific branches. In this regard, we have focused our attention on the study of the susceptible-infected-susceptible (SIS) model, within a Monte Carlo numerical simulation approach, representing the spreading of epidemics in a clustered homophilic network. The competition between infection and recovery that drives the system either to an absorbing or to an active phase is analyzed. We estimate the static critical exponents , and , through finite-size scaling (FSS) analysis of the order parameter and its fluctuations, showing that they differ from those associated with the contact process on a scale-free network, as well as those predicted by the heterogeneous mean-field theory.
复杂网络中流行病的传播一直是多个科学分支重新关注的课题。在这方面，我们将注意力集中在易感-感染-易感（SIS）模型的研究上，采用蒙特卡罗数值模拟方法，该方法代表了在聚类同配网络中流行病的传播。分析了驱动系统进入吸收态或活跃态的感染与恢复之间的竞争。我们通过对序参量及其涨落进行有限尺寸标度（FSS）分析，估计了静态临界指数 、 和 ，结果表明它们不同于与无标度网络上的接触过程相关的临界指数，也不同于非均匀平均场理论所预测的临界指数。
