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The evolutionary effect of endemic infectious disease: continuous models for an invariant pathogen
Journal of Mathematical Biology
|January 1, 1982
Summary
This study explores how host genetics influence infectious disease spread. Stable genetic polymorphisms and disease prevalence are linked to both genetic factors and epidemic dynamics.
Area of Science:
- Mathematical modeling
- Population genetics
- Epidemiology
Background:
- Endemic infectious diseases pose significant public health challenges.
- Understanding the interplay between host genetics and disease dynamics is crucial for effective control strategies.
Purpose of the Study:
- To investigate the relationship between infectious disease epidemiology and host population genetics.
- To analyze how natural selection acts on genes controlling disease susceptibility.
Main Methods:
- Utilized continuous deterministic models.
- Examined a single genetic locus with two alleles.
- Considered both haploid and diploid host populations.
- Assumed an invariant infectious agent.
Main Results:
- Demonstrated the existence of stable polymorphic equilibria under specific parameter combinations.
- Showed that equilibrium gene frequencies are influenced by genetic and epidemic factors.
- Disease prevalence at equilibrium is also dependent on these combined factors.
Conclusions:
- Genetic variation within a host population can lead to stable states in the presence of endemic disease.
- Both genetic makeup and disease transmission dynamics jointly determine long-term disease patterns and genetic diversity.