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Persistence of an infectious disease in a subdivided population
Abstract:
The transmission dynamics of a communicable disease in a subdivided population where the spread among groups follows the proportionate mixing model while the within-group transmission can correspond to preferred mixing, proportionate mixing among subgroups, or mixing between social and nonsocial subgroups, is analyzed. It is shown that the threshold condition for the disease to persist is that either (i) the disease can persist within at least one group through intragroup contacts, or--if (i) does not hold--(ii) the intergroup transmission is sufficiently high. The among-group transmission is computed as an average where each subgroup's reproductive number is weighted according to its intragroup activity level squared and the total number of cases that one infectious individual will cause through intragroup contacts. The model thus allows for a study of the relative importance of communitywide disease transmission and of disease transmission within geographically or socially separate groups.
Insights
This study analyzes communicable disease spread in divided populations. High transmission within groups or significant spread between groups determines if a disease persists.
Area of Science:
- Epidemiology
- Mathematical Modeling
- Public Health
Background:
- Understanding disease transmission in populations with distinct subgroups is crucial for effective control strategies.
- Previous models often simplified mixing patterns, limiting their applicability to complex social structures.
Purpose of the Study:
- To analyze the transmission dynamics of communicable diseases in subdivided populations.
- To determine the threshold conditions for disease persistence considering both within-group and between-group transmission.
- To investigate the relative importance of community-wide versus group-specific disease spread.
Main Methods:
- Developed a mathematical model for disease transmission in a subdivided population.
- Incorporated various within-group mixing scenarios: preferred, proportionate, and social/nonsocial subgroup mixing.
- Calculated among-group transmission using a weighted average of subgroup reproductive numbers.
Main Results:
- Disease persistence is determined by either sustained transmission within at least one subgroup or sufficiently high transmission between subgroups.
- The model quantifies how different mixing patterns influence overall disease spread.
- Identified the critical role of intragroup activity levels and contact rates in determining disease persistence.
Conclusions:
- The persistence of communicable diseases in subdivided populations depends on a balance between within-group and between-group transmission dynamics.
- The model provides a framework for assessing the impact of social structure on epidemic potential.
- Findings highlight the need for tailored interventions considering both local and broader transmission networks.