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Mixing patterns between age groups in social networks
Authors:S.Y. Del Valle  J.M. Hyman  H.W. Hethcote  S.G. Eubank
Affiliation:1. D-3, Systems Engineering & Integration (MS B262), Los Alamos National Laboratory, Los Alamos, NM 87545, USA;2. T-7, Mathematical Modeling & Analysis (MS B284), Los Alamos National Laboratory, Los Alamos, NM 87545, USA;3. Department of Applied Mathematical & Computational Sciences, University of Iowa, 14 McLean Hall, Iowa City, IA 52242, USA;4. CCS-5, Discrete Simulation Sciences (MS M997), Los Alamos National Laboratory, Los Alamos, NM 87545, USA
Abstract:We present a method for estimating transmission matrices that describe the mixing and the probability of infection between age groups. Transmission matrices can be used to estimate age-dependent forces of infection in age-structured, compartmental models for the study of infectious diseases. We analyze the social network generated by the synthetic population of Portland and extract mixing patterns. Our results show that the mixing within the population consists of two groups, children and adults. Children interact most frequently with other children close to their own age, while adults interact with a wider range of age groups and the durations of typical adult contacts are shorter than typical contacts between children. Furthermore, the transmission matrix shows that children are more likely to acquire infection than adults.
Keywords:Infectious diseases   Mathematical models   Network epidemiology   Contact patterns   EpiSimS   WAIFW matrix
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