Host mating system and the spread of a disease-resistant allele in a population

Donald L. DeAngelis, Jennifer M. Koslow, Jiang Jiang, Shigui Ruan

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The model presented here modifies a susceptible-infected (SI) host-pathogen model to determine the influence of mating system on the outcome of a host-pathogen interaction. Both deterministic and stochastic (individual-based) versions of the model were used. This model considers the potential consequences of varying mating systems on the rate of spread of both the pathogen and resistance alleles within the population. We assumed that a single allele for disease resistance was sufficient to confer complete resistance in an individual, and that both homozygote and heterozygote resistant individuals had the same mean birth and death rates. When disease invaded a population with only an initial small fraction of resistant genes, inbreeding (selfing) tended to increase the probability that the disease would soon be eliminated from a small population rather than become endemic, while outcrossing greatly increased the probability that the population would become extinct due to the disease.

Original languageEnglish
Pages (from-to)191-198
Number of pages8
JournalTheoretical Population Biology
Volume74
Issue number2
DOIs
StatePublished - Sep 1 2008

Fingerprint

mating systems
reproductive strategy
allele
Alleles
alleles
Population
pathogen
host-pathogen interaction
Host-Pathogen Interactions
Disease Resistance
Inbreeding
birth rate
disease resistance
outcrossing
host-pathogen relationships
pathogens
Birth Rate
autogamy
Homozygote
Heterozygote

Keywords

  • Allele spread
  • Disease resistance
  • Inbreeding
  • Pathogen spread
  • Plant pathogens
  • Resistant alleles
  • Susceptible-infected-resistant model

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

Host mating system and the spread of a disease-resistant allele in a population. / DeAngelis, Donald L.; Koslow, Jennifer M.; Jiang, Jiang; Ruan, Shigui.

In: Theoretical Population Biology, Vol. 74, No. 2, 01.09.2008, p. 191-198.

Research output: Contribution to journalArticle

DeAngelis, Donald L. ; Koslow, Jennifer M. ; Jiang, Jiang ; Ruan, Shigui. / Host mating system and the spread of a disease-resistant allele in a population. In: Theoretical Population Biology. 2008 ; Vol. 74, No. 2. pp. 191-198.
@article{68d6c463e5564d2aa34f6d145af26fca,
title = "Host mating system and the spread of a disease-resistant allele in a population",
abstract = "The model presented here modifies a susceptible-infected (SI) host-pathogen model to determine the influence of mating system on the outcome of a host-pathogen interaction. Both deterministic and stochastic (individual-based) versions of the model were used. This model considers the potential consequences of varying mating systems on the rate of spread of both the pathogen and resistance alleles within the population. We assumed that a single allele for disease resistance was sufficient to confer complete resistance in an individual, and that both homozygote and heterozygote resistant individuals had the same mean birth and death rates. When disease invaded a population with only an initial small fraction of resistant genes, inbreeding (selfing) tended to increase the probability that the disease would soon be eliminated from a small population rather than become endemic, while outcrossing greatly increased the probability that the population would become extinct due to the disease.",
keywords = "Allele spread, Disease resistance, Inbreeding, Pathogen spread, Plant pathogens, Resistant alleles, Susceptible-infected-resistant model",
author = "DeAngelis, {Donald L.} and Koslow, {Jennifer M.} and Jiang Jiang and Shigui Ruan",
year = "2008",
month = "9",
day = "1",
doi = "10.1016/j.tpb.2008.07.001",
language = "English",
volume = "74",
pages = "191--198",
journal = "Theoretical Population Biology",
issn = "0040-5809",
publisher = "Academic Press Inc.",
number = "2",

}

TY - JOUR

T1 - Host mating system and the spread of a disease-resistant allele in a population

AU - DeAngelis, Donald L.

AU - Koslow, Jennifer M.

AU - Jiang, Jiang

AU - Ruan, Shigui

PY - 2008/9/1

Y1 - 2008/9/1

N2 - The model presented here modifies a susceptible-infected (SI) host-pathogen model to determine the influence of mating system on the outcome of a host-pathogen interaction. Both deterministic and stochastic (individual-based) versions of the model were used. This model considers the potential consequences of varying mating systems on the rate of spread of both the pathogen and resistance alleles within the population. We assumed that a single allele for disease resistance was sufficient to confer complete resistance in an individual, and that both homozygote and heterozygote resistant individuals had the same mean birth and death rates. When disease invaded a population with only an initial small fraction of resistant genes, inbreeding (selfing) tended to increase the probability that the disease would soon be eliminated from a small population rather than become endemic, while outcrossing greatly increased the probability that the population would become extinct due to the disease.

AB - The model presented here modifies a susceptible-infected (SI) host-pathogen model to determine the influence of mating system on the outcome of a host-pathogen interaction. Both deterministic and stochastic (individual-based) versions of the model were used. This model considers the potential consequences of varying mating systems on the rate of spread of both the pathogen and resistance alleles within the population. We assumed that a single allele for disease resistance was sufficient to confer complete resistance in an individual, and that both homozygote and heterozygote resistant individuals had the same mean birth and death rates. When disease invaded a population with only an initial small fraction of resistant genes, inbreeding (selfing) tended to increase the probability that the disease would soon be eliminated from a small population rather than become endemic, while outcrossing greatly increased the probability that the population would become extinct due to the disease.

KW - Allele spread

KW - Disease resistance

KW - Inbreeding

KW - Pathogen spread

KW - Plant pathogens

KW - Resistant alleles

KW - Susceptible-infected-resistant model

UR - http://www.scopus.com/inward/record.url?scp=49749138907&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=49749138907&partnerID=8YFLogxK

U2 - 10.1016/j.tpb.2008.07.001

DO - 10.1016/j.tpb.2008.07.001

M3 - Article

C2 - 18662709

AN - SCOPUS:49749138907

VL - 74

SP - 191

EP - 198

JO - Theoretical Population Biology

JF - Theoretical Population Biology

SN - 0040-5809

IS - 2

ER -