On the populations of competing species

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The population sizes of two species competing for the same food supply or living space are often modelled by a pair of ordinary differential equations. If the growth rates of the two population sizes are linear in the population sizes, then coexistence in stable equilibrium implies qualified competition at equilibrium, in the sense that the effect of the competition is to increase the total population. Since experiments indicate that a stable equilibrium with unqualified competition is possible, this suggests that non-linear growth rates would give a more accurate model. An example is given of a model with non-linear growth rates which exhibits a stable equilibrium with unqualified competition.

Original languageEnglish (US)
Pages (from-to)299-306
Number of pages8
JournalMathematical Biosciences
Volume19
Issue number3-4
DOIs
StatePublished - Jan 1 1974
Externally publishedYes

Fingerprint

Competing Species
Population Density
population size
Population Size
Growth
Population
Nonlinear Dynamics
Food Supply
Food supply
food supply
Ordinary differential equations
Coexistence
coexistence
Ordinary differential equation
Imply
Model
Experiment
experiment
Experiments

ASJC Scopus subject areas

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

Cite this

On the populations of competing species. / Brauer, Fred.

In: Mathematical Biosciences, Vol. 19, No. 3-4, 01.01.1974, p. 299-306.

Research output: Contribution to journalArticle

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