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A competitive exclusion principle for pathogen virulence.

H J Bremermann1, H R Thieme

  • 1Department of Biophysics, University of California, Berkeley 94720.

Journal of Mathematical Biology
|January 1, 1989
PubMed
Summary

Parasitic infections persist only if they optimize the parasite's reproductive rate. Other infections with varying virulence levels eventually die out, even with host carrying capacity considered.

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Area of Science:

  • Mathematical modeling
  • Epidemiology
  • Theoretical ecology

Background:

  • Host-parasite dynamics are complex, influenced by factors like virulence and host population size.
  • Understanding parasite persistence is crucial for predicting disease spread and impact.

Purpose of the Study:

  • To investigate how different levels of parasite virulence affect infection persistence in a modified host-parasite model.
  • To identify the conditions under which parasites can establish and maintain infections within a host population.

Main Methods:

  • Utilized a modified Anderson and May model incorporating environmental carrying capacity for the host.
  • Analyzed the asymptotic behavior of infections with varying virulence levels.
  • Derived a threshold condition to determine parasite persistence.

Main Results:

  • Infections with non-optimal virulence levels were shown to die out asymptotically.
  • Parasitic strains that optimize the basic reproductive rate (R0) were found to persist.
  • The model assumes that infection with one parasite strain precludes superinfection.

Conclusions:

  • Parasite persistence is contingent upon optimizing the basic reproductive rate, irrespective of other virulence levels.
  • A derived threshold condition dictates the long-term survival of parasites within the host population.
  • The findings highlight the critical role of reproductive rate optimization in parasite evolution and epidemiology.

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