Year class coexistence or competitive exclusion for strict biennials?

N.V. Davydova, O. Diekmann, S.A. van Gils

Research output: Contribution to journalArticleAcademicpeer-review

41 Citations (Scopus)

Abstract

We consider a discrete time model of semelparous biennial population dynamics. Interactions between individuals are modelled with the aid of an ``environmental'' variable I. The impact on and the sensitivity to the environmental condition is age specific. The main result is that competitive exclusion between the year classes is possible as is their coexistence. For moderate values of the basic reproduction ratio R 0 there is a strict dichotomy: depending on the other parameters we either find competitive exclusion or coexistence. We characterize rather precisely the patterns of age specific impact and sensitivity that lead to either of these outcomes.
Original languageEnglish
Pages (from-to)95-131
Number of pages37
JournalJournal of mathematical biology
Volume46
Issue number2
DOIs
Publication statusPublished - 2003

Fingerprint

Basic Reproduction Number
biennials
Competitive Exclusion
Population dynamics
competitive exclusion
Population Dynamics
Coexistence
Basic Reproduction Ratio
Biennial
environmental factors
Discrete-time Model
Dichotomy
population dynamics
Interaction
Class

Keywords

  • Competitive exclusion
  • METIS-209231
  • IR-74624
  • EWI-13998
  • Semelparous species
  • Periodical insects

Cite this

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title = "Year class coexistence or competitive exclusion for strict biennials?",
abstract = "We consider a discrete time model of semelparous biennial population dynamics. Interactions between individuals are modelled with the aid of an ``environmental'' variable I. The impact on and the sensitivity to the environmental condition is age specific. The main result is that competitive exclusion between the year classes is possible as is their coexistence. For moderate values of the basic reproduction ratio R 0 there is a strict dichotomy: depending on the other parameters we either find competitive exclusion or coexistence. We characterize rather precisely the patterns of age specific impact and sensitivity that lead to either of these outcomes.",
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author = "N.V. Davydova and O. Diekmann and {van Gils}, S.A.",
year = "2003",
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language = "English",
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journal = "Journal of mathematical biology",
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Year class coexistence or competitive exclusion for strict biennials? / Davydova, N.V.; Diekmann, O.; van Gils, S.A.

In: Journal of mathematical biology, Vol. 46, No. 2, 2003, p. 95-131.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Year class coexistence or competitive exclusion for strict biennials?

AU - Davydova, N.V.

AU - Diekmann, O.

AU - van Gils, S.A.

PY - 2003

Y1 - 2003

N2 - We consider a discrete time model of semelparous biennial population dynamics. Interactions between individuals are modelled with the aid of an ``environmental'' variable I. The impact on and the sensitivity to the environmental condition is age specific. The main result is that competitive exclusion between the year classes is possible as is their coexistence. For moderate values of the basic reproduction ratio R 0 there is a strict dichotomy: depending on the other parameters we either find competitive exclusion or coexistence. We characterize rather precisely the patterns of age specific impact and sensitivity that lead to either of these outcomes.

AB - We consider a discrete time model of semelparous biennial population dynamics. Interactions between individuals are modelled with the aid of an ``environmental'' variable I. The impact on and the sensitivity to the environmental condition is age specific. The main result is that competitive exclusion between the year classes is possible as is their coexistence. For moderate values of the basic reproduction ratio R 0 there is a strict dichotomy: depending on the other parameters we either find competitive exclusion or coexistence. We characterize rather precisely the patterns of age specific impact and sensitivity that lead to either of these outcomes.

KW - Competitive exclusion

KW - METIS-209231

KW - IR-74624

KW - EWI-13998

KW - Semelparous species

KW - Periodical insects

U2 - 10.1007/s00285-002-0167-5

DO - 10.1007/s00285-002-0167-5

M3 - Article

VL - 46

SP - 95

EP - 131

JO - Journal of mathematical biology

JF - Journal of mathematical biology

SN - 0303-6812

IS - 2

ER -