Modelling approaches for simple dynamic networks and applications to disease transmission models
Modelling approaches for simple dynamic networks and applications to disease transmission models
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DOI：
10.1098/rspa.2011.0349
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发表时间：
2012-05-08
影响因子：
3.5
通讯作者：
Simon, Peter L.
中科院分区：
文献类型：
--
作者：
Kiss, Istvan Z.;Berthouze, Luc;Simon, Peter L.
本文提出了一个随机链接激活删除（RLAD）模型，产生一个随机演化网络。这个动态的网络，然后耦合到一个简单的易感染的传染病suceptible（SIS）的网络上的动态，并通过模拟和一个新的成对模型的动态网络的模型行为的频谱进行了探索。首先，动态网络模型进行了系统的分析，考虑链接类型的独立和依赖的网络动力学与全局约束的链接创建。这是严格的一些分析结果，我们强调在哪里可以进行这样的分析，以及这些更简单的模型如何提供一个基准来测试和验证完整的模拟。成对模型被用来研究网络上的SIS型动力学和依赖于链接类型的激活-删除之间的相互作用。成对模型的假设被确定，其含义解释的方式，补充我们目前的理解。此外，我们还讨论了封闭关系的强假设如何导致模拟和成对模型之间的不一致。与静态网络不同，由此产生的行为谱更加复杂，感染的流行不仅表现出单一的稳态，而且还表现出双稳态和振荡。
In this paper a random link activation-deletion (RLAD) model is proposed that gives rise to a stochastically evolving network. This dynamic network is then coupled to a simple susceptible-infectious-suceptible (SIS) dynamics on the network, and the resulting spectrum of model behaviour is explored via simulation and a novel pairwise model for dynamic networks. First, the dynamic network model is systematically analysed by considering link-type independent and dependent network dynamics coupled with globally constrained link creation. This is done rigorously with some analytical results and we highlight where such analysis can be performed and how these simpler models provide a benchmark to test and validate full simulations. The pairwise model is used to study the interplay between SIS-type dynamics on the network and link-type-dependent activation-deletion. Assumptions of the pairwise model are identified and their implications interpreted in a way that complements our current understanding. Furthermore, we also discuss how the strong assumptions of the closure relations can lead to disagreement between the simulation and pairwise model. Unlike on a static network, the resulting spectrum of behaviour is more complex with the prevalence of infections exhibiting not only a single steady state, but also bistability and oscillations.