A competitive exclusion principle for pathogen virulence

H. J. Bremermann, Horst Thieme

Research output: Contribution to journalArticle

241 Citations (Scopus)

Abstract

For a modified Anderson and May model of host parasite dynamics it is shown that infections of different levels of virulence die out asymptotically except those that optimize the basic reproductive rate of the causative parasite. The result holds under the assumption that infection with one strain of parasite precludes additional infections with other strains. Technically, the model includes an environmental carrying capacity for the host. A threshold condition is derived which decides whether or not the parasites persist in the host population.

Original languageEnglish (US)
Pages (from-to)179-190
Number of pages12
JournalJournal of Mathematical Biology
Volume27
Issue number2
DOIs
StatePublished - Apr 1989

Fingerprint

Competitive Exclusion
competitive exclusion
Pathogens
Virulence
Infection
Parasites
virulence
parasites
pathogens
Carrying Capacity
Basic Reproduction Number
infection
environmental models
Conservation of Natural Resources
Die
carrying capacity
Optimise
Model
Population

Keywords

  • Co-evolution
  • Commensalism
  • Evolution of virulence
  • Extinction
  • Multi-strain epidemic model
  • Myxomatosis
  • Persistence
  • Stable endemic equilibrium

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Agricultural and Biological Sciences (miscellaneous)

Cite this

A competitive exclusion principle for pathogen virulence. / Bremermann, H. J.; Thieme, Horst.

In: Journal of Mathematical Biology, Vol. 27, No. 2, 04.1989, p. 179-190.

Research output: Contribution to journalArticle

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