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Incorporating immunological ideas in epidemiological models

J Dushoff1

  • 1Department of Ecology and Evolutionary Biology, Princeton University, NJ 08544, USA.

Journal of Theoretical Biology
|June 7, 1996
PubMed
Summary

Disease spread is influenced by host immunity and exposure levels. A simple model shows how higher exposure can lead to severe infections, potentially causing diseases to persist in populations and cycle unpredictably.

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Area of Science:

  • Epidemiology
  • Immunology
  • Mathematical Biology
  • Disease Ecology

Background:

  • Epidemiology and immunology are interconnected in disease dynamics.
  • Exposure variables influence immunological outcomes, affecting disease spread.
  • Host-parasite interactions determine pathogen transmissibility.

Purpose of the Study:

  • To present a simple mathematical model exploring the interplay between epidemiological exposure and immunological outcomes.
  • To investigate how these interactions affect disease invasion and persistence.
  • To identify conditions leading to multiple stable states in disease dynamics.

Main Methods:

  • Development of a simple mathematical model with two infection states.
  • Assumption that higher infection exposure correlates with increased infection severity.
  • Analysis of model parameters to determine equilibrium stability.

Main Results:

  • The model demonstrates simultaneous stability of disease-free and endemic equilibria for certain parameter values.
  • A sufficient condition for multiple stable states was derived.
  • The findings suggest diseases may persist in populations they cannot invade.

Conclusions:

  • The interaction between epidemiology and immunology significantly impacts disease invasion and persistence.
  • This mechanism can lead to mathematical "catastrophe" events.
  • Long-term cycles in disease prevalence are a possible outcome.

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