Broder-Rodgers David, Pérez-Reche Francisco J, Taraskin Sergei N
Selwyn College and Cavendish Laboratory, University of Cambridge, Cambridge, United Kingdom.
Institute for Complex Systems and Mathematical Biology, SUPA, University of Aberdeen, Aberdeen, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):062814. doi: 10.1103/PhysRevE.92.062814. Epub 2015 Dec 11.
Epidemics in networks can be affected by cooperation in transmission of infection and also connectivity between nodes. An interplay between these two properties and their influence on epidemic spread are addressed in the paper. A particular type of cooperative effects (called synergy effects) is considered, where the transmission rate between a pair of nodes depends on the number of infected neighbors. The connectivity effects are studied by constructing networks of different topology, starting with lattices with only local connectivity and then with networks that have both local and global connectivity obtained by random bond-rewiring to nodes within a certain distance. The susceptible-infected-removed epidemics were found to exhibit several interesting effects: (i) for epidemics with strong constructive synergy spreading in networks with high local connectivity, the bond rewiring has a negative role in epidemic spread, i.e., it reduces invasion probability; (ii) in contrast, for epidemics with destructive or weak constructive synergy spreading on networks of arbitrary local connectivity, rewiring helps epidemics to spread; (iii) and, finally, rewiring always enhances the spread of epidemics, independent of synergy, if the local connectivity is low.
网络中的流行病会受到感染传播中的合作以及节点之间连通性的影响。本文探讨了这两个特性之间的相互作用及其对流行病传播的影响。研究考虑了一种特殊类型的合作效应（称为协同效应），即一对节点之间的传播速率取决于受感染邻居的数量。通过构建不同拓扑结构的网络来研究连通性效应，首先是仅具有局部连通性的晶格，然后是通过对一定距离内的节点进行随机键重连而同时具有局部和全局连通性的网络。发现易感 - 感染 - 移除流行病呈现出几个有趣的效应：（i）对于在具有高局部连通性的网络中传播且具有强建设性协同作用的流行病，键重连对流行病传播具有负面作用，即降低入侵概率；（ii）相反，对于在具有任意局部连通性的网络中传播且具有破坏性或弱建设性协同作用的流行病，重连有助于流行病传播；（iii）最后，如果局部连通性较低，重连总是会增强流行病的传播，而与协同作用无关。
