Coexistence of competing juvenile-adult structured populations.

Jim M Cushing, Shandelle M. Henson, Lih Ing Roeger

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The Leslie-Gower model is a discrete time analog of the competition Lotka-Volterra model and is known to possess the same dynamic scenarios of that famous model. The Leslie-Gower model played a historically significant role in the history of competition theory in its application to classic laboratory experiments of two competing species of flour beetles (carried out by Park in the 1940s-1960s). While these experiments generally supported what became the Competitive Exclusion Principle, Park observed an anomalous coexistence case. Recent literature has discussed Park's 'coexistence case' by means of non-Lotka-Volterra, non-equilibrium dynamics that occur in a high dimensional model with life cycle stages. We study this dynamic possibility in the lowest possible dimension, that is to say, by means of a model involving only two species each with two life cycle stages. We do this by extending the Leslie-Gower model so as to describe the competitive interaction of two species with juvenile and adult classes. We give a complete account of the global dynamics of the resulting model and show that it allows for non-equilibrium competitive coexistence as competition coefficients are increased. We also show that this phenomenon occurs in a general class of models for competing populations structured by juvenile and adult life cycle stages.

Original languageEnglish (US)
Pages (from-to)201-231
Number of pages31
JournalJournal of Biological Dynamics
Volume1
Issue number2
StatePublished - Apr 2007

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coexistence
life cycle
developmental stages
Lotka-Volterra model
competitive exclusion
Tenebrionidae
dynamic models
beetle
history
experiment

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology

Cite this

Coexistence of competing juvenile-adult structured populations. / Cushing, Jim M; Henson, Shandelle M.; Roeger, Lih Ing.

In: Journal of Biological Dynamics, Vol. 1, No. 2, 04.2007, p. 201-231.

Research output: Contribution to journalArticle

Cushing, Jim M ; Henson, Shandelle M. ; Roeger, Lih Ing. / Coexistence of competing juvenile-adult structured populations. In: Journal of Biological Dynamics. 2007 ; Vol. 1, No. 2. pp. 201-231.
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