Models for the effects of individual size and spatial scale on competition between species in heterogeneous environments

S. W. Ali, George Cosner

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

A spatially explicit model for competition with dispersal in a heterogeneous environment is used to study the effects of individual size and the spatial scale of the environment on the competitive interactions between species. The model is a Lotka-Volterra competition system with diffusion and with spatial variation in some coefficients. The coefficients in the model are taken to reflect a situation where the larger competitor typically disperses farther in unit time than the smaller and reproduces less rapidly, but has an advantage in contests or other forms of interference competition. The environment is assumed to be closed, i.e., it is assumed that individuals do not leave through the boundary. The environment is generally assumed to consist of a patch of favorable habitat surrounded by less favorable regions. The effects of spatial scale are studied by examining how the predictions of the model change as the size of the favorable patch is varied. The predictions turn out to be in qualitative agreement with the results of some empirical studies.

Original languageEnglish (US)
Pages (from-to)45-76
Number of pages32
JournalMathematical Biosciences
Volume127
Issue number1
DOIs
StatePublished - 1995

Fingerprint

Heterogeneous Environment
Patch
Competition System
interference competition
prediction
Lotka-Volterra System
Prediction
Coefficient
Model
Empirical Study
Ecosystem
spatial variation
Interference
Closed
Unit
effect
habitat
habitats
Interaction

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Applied Mathematics
  • Modeling and Simulation
  • Statistics and Probability
  • Medicine(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

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