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Updated: Jul 16, 2026
08:03
Heuristic Mining of Hierarchical Genotypes and Accessory Genome Loci in Bacterial Populations
Published on: December 7, 2021
Partially mixed household epidemiological model with clustered resistant individuals
David E Hiebeler1, Amanda Keck Criner
1Department of Mathematics and Statistics, 333 Neville Hall, University of Maine, Orono, Maine 04469-5752, USA. hiebeler@math.umaine.edu
Summary
Household resistance variability significantly accelerates infectious disease spread and increases endemic levels. This occurs even with random resistance distribution, and spatial clustering further impacts disease dynamics.
Area of Science:
- Epidemiology
- Mathematical Modeling
- Population Dynamics
Background:
- Infectious disease transmission is influenced by population structure and individual immunity.
- Understanding how heterogeneity in resistance impacts disease spread is crucial for public health interventions.
Purpose of the Study:
- To investigate the impact of varying resistance levels across households on infectious disease dynamics.
- To analyze how population stratification into resistant and non-resistant individuals affects disease spread and equilibrium levels.
Main Methods:
- Mathematical modeling of disease spread within a structured population.
- Analysis of disease dynamics considering household partitioning and individual resistance.
- Utilizing an improved mean-field approximation to incorporate spatial clustering effects.
Main Results:
- Variability in household resistance levels enhances the initial rate of infection spread.
- Increased resistance heterogeneity leads to a higher infection level at the endemic equilibrium.
- Spatial clustering of resistant individuals also influences and predicts disease dynamics.
Conclusions:
- Heterogeneity in resistance at the household level is a critical factor in infectious disease dynamics.
- Interventions should consider the spatial distribution and clustering of resistance within populations.
- Mathematical models incorporating population structure are essential for accurate disease spread prediction.
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