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When individual behaviour matters: homogeneous and network models in epidemiology
Shweta Bansal1, Bryan T Grenfell, Lauren Ancel Meyers
1Computational and Applied Mathematics, Institute for Computational Engineering and Sciences, University of Texas at Austin, 1 University Station, C0200, Austin, TX 78712, USA.
Disease spread is significantly influenced by host contact patterns. While human contacts are more varied than simple models assume, network models offer a more accurate approach for understanding disease dynamics in heterogeneous populations.
Area of Science:
- Epidemiology
- Network Science
- Mathematical Biology
Background:
- Population-level disease dynamics are heavily influenced by host contact patterns.
- Many epidemiological models simplify these patterns, often assuming homogeneous mixing.
- Network-based approaches have emerged to model contact heterogeneity explicitly.
Purpose of the Study:
- To quantify the departure of real populations from homogeneous mixing assumptions using a network perspective.
- To evaluate methodologies for incorporating contact heterogeneity in epidemiological models.
- To compare the accuracy of network models versus modified compartmental models.
Main Methods:
- Utilized a network perspective to analyze host contact patterns.
- Quantified heterogeneity in underlying network structure and epidemiological dynamics.
- Evaluated various methods for incorporating contact heterogeneity, including network and SIR models.
Main Results:
- Human contact patterns exhibit more heterogeneity than homogeneous-mixing models assume.
- Contact pattern variability is less extreme than some previous speculations suggested.
- Network models demonstrated greater accuracy and intuitiveness for heterogeneous populations.
Conclusions:
- Homogeneous-mixing compartmental models are suitable for nearly homogeneous populations.
- Modified compartmental models can be effective for specific non-homogeneous networks.
- Network models are generally superior for predicting disease spread in heterogeneous host populations.
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