簇网络上具有竞争的双病原体模型
Two-pathogen model with competition on clustered networks
摘要：
网络提供了一个数学上丰富的框架来表示足以传播疾病的社会联系。社交网络通常是高度聚集的，并且不能是局部树状的。在本文中，我们研究了集群的病原体的连续菌株的传播使用生成函数制定下一个完整的交叉免疫耦合的影响，推导条件的阈值共存的第二个菌株。我们发现，聚类降低了第二种菌株的共存阈值和泊松网络中的爆发规模，同时表现出相反的效果均匀度模型。我们的结论是，聚集在一个人口必须增加的能力，第二波的流行病蔓延到一个网络。我们将我们的模型应用于多层集群网络的研究，并观察到在两个不同的传输率的剩余图的断裂。
英文摘要：
Networks provide a mathematically rich framework to represent social contacts sufficient for the transmission of disease. Social networks are often highly clustered and fail to be locally tree-like. In this paper, we study the effects of clustering on the spread of sequential strains of a pathogen using the generating function formulation under a complete cross-immunity coupling, deriving conditions for the threshold of coexistence of the second strain. We show that clustering reduces the coexistence threshold of the second strain and its outbreak size in Poisson networks, whilst exhibiting the opposite effects on uniform-degree models. We conclude that clustering within a population must increase the ability of the second wave of an epidemic to spread over a network. We apply our model to the study of multilayer clustered networks and observe the fracturing of the residual graph at two distinct transmissibilities.
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