A competitive exclusion principle for pathogen virulence

H. J. Bremermann; Horst Thieme

doi:10.1007/BF00276102

A competitive exclusion principle for pathogen virulence

H. J. Bremermann, Horst Thieme

Mathematical and Statistical Sciences, School of (SoMSS)

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295 Scopus citations

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 language	English (US)
Pages (from-to)	179-190
Number of pages	12
Journal	Journal Of Mathematical Biology
Volume	27
Issue number	2
DOIs	https://doi.org/10.1007/BF00276102
State	Published - Apr 1989

Keywords

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

ASJC Scopus subject areas

Modeling and Simulation
Agricultural and Biological Sciences (miscellaneous)
Applied Mathematics

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10.1007/BF00276102

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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.",

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AB - 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.

KW - Co-evolution

KW - Commensalism

KW - Evolution of virulence

KW - Extinction

KW - Multi-strain epidemic model

KW - Myxomatosis

KW - Persistence

KW - Stable endemic equilibrium

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A competitive exclusion principle for pathogen virulence

Abstract

Keywords

ASJC Scopus subject areas

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