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Extinction rate fragility in population dynamics.

M Khasin1, M I Dykman

  • 1Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA.

Physical Review Letters
|October 2, 2009
PubMed
Summary
This summary is machine-generated.

Population extinction rates in multi-population systems are fragile, meaning they can unexpectedly change with system parameters. This fragility was demonstrated in the susceptible-infectious-susceptible epidemiological model.

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Area of Science:

  • Population dynamics
  • Epidemiology
  • Mathematical modeling

Background:

  • Population extinction is a critical concern in population dynamics, often triggered by rare, large fluctuations.
  • Understanding extinction mechanisms is vital for ecological and epidemiological stability.
  • Previous research focused on effects like noise-induced switching, but extinction barrier fragility remained less explored.

Purpose of the Study:

  • To investigate the phenomenon of extinction rate fragility in multipopulation systems.
  • To analyze how system parameters nonanalytically influence the effective barrier to extinction.
  • To demonstrate this fragility using a well-established epidemiological model.

Main Methods:

  • Analysis of multipopulation dynamics models.
  • Investigation of large fluctuation effects on population extinction.
  • Application and analysis of the susceptible-infectious-susceptible (SIS) model.

Main Results:

  • Extinction rates in multipopulation systems generally exhibit fragility.
  • The effective barrier to extinction depends nonanalytically on system parameters.
  • The susceptible-infectious-susceptible model was shown to be fragile to total population fluctuations.

Conclusions:

  • Extinction fragility is a general property of multipopulation systems.
  • Non-analytic parameter dependence of extinction barriers has significant implications for population stability.
  • Epidemiological models like the SIS model are susceptible to population fluctuations, highlighting potential vulnerabilities.