Journal
JOURNAL OF THE ROYAL SOCIETY INTERFACE
Volume 8, Issue 54, Pages 67-73Publisher
ROYAL SOC
DOI: 10.1098/rsif.2010.0179
Keywords
epidemic; network; transmission; pairwise; simulation; infection
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Funding
- UK Engineering and Physical Sciences Research Council [EP/H016139/1]
- UK Medical Research Council [G0701256]
- EPSRC [EP/H016139/1] Funding Source: UKRI
- MRC [G0701256] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/H016139/1] Funding Source: researchfish
- Medical Research Council [G0701256] Funding Source: researchfish
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Networks are increasingly central to modern science owing to their ability to conceptualize multiple interacting components of a complex system. As a specific example of this, understanding the implications of contact network structure for the transmission of infectious diseases remains a key issue in epidemiology. Three broad approaches to this problem exist: explicit simulation; derivation of exact results for special networks; and dynamical approximations. This paper focuses on the last of these approaches, and makes two main contributions. Firstly, formal mathematical links are demonstrated between several prima facie unrelated dynamical approximations. And secondly, these links are used to derive two novel dynamical models for network epidemiology, which are compared against explicit stochastic simulation. The success of these new models provides improved understanding about the interaction of network structure and transmission dynamics.
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