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Related Concept Videos

Competition02:34

Competition

When organisms require the same limited resources within an environment, they may have to compete for them. Competition is a net-negative interaction. Even if two competing individuals or populations do not interact directly, the overall fitness of both competitors is lowered as a result of not having full access to the limited resource.
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Natural selection influences the frequencies of particular alleles and phenotypes within populations in several different ways. Primarily, natural selection can be directional, stabilizing, or disruptive. Directional selection favors one extreme trait and shifts the population towards that phenotype while selecting against individuals displaying alternate traits. Stabilizing selection favors an intermediate trait with a narrow range of variation. Deviation from the optimal phenotype towards an...
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Updated: May 19, 2026

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

Multiple mixed-type attractors in a competition model.

J M Cushing1, Shandelle M Henson, Chantel C Blackburn

  • 1Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA. cushing@math.arizona.edu

Journal of Biological Dynamics
|August 11, 2012
PubMed
Summary
This summary is machine-generated.

This study reveals that nonlinear competition models can simultaneously feature coexistence and exclusion attractors, challenging previous assumptions about life-cycle stages being the sole cause.

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Area of Science:

  • Ecology
  • Mathematical Biology
  • Population Dynamics

Background:

  • Competition models are crucial for understanding species interactions.
  • Previous research suggested life-cycle stages drive multiple attractors in ecological models.
  • The role of nonlinearities in these dynamics remained less explored.

Purpose of the Study:

  • To investigate the impact of nonlinearities on ecological competition models.
  • To determine if nonlinearities alone can generate multiple mixed-type attractors.
  • To explore coexistence and exclusion dynamics in the absence of life-cycle stages.

Main Methods:

  • Developed a discrete-time, two-species competition model.
  • Incorporated Ricker (exponential) nonlinearities into the model.
  • Analyzed the model's dynamic scenarios to identify attractors.

Main Results:

  • Demonstrated that Ricker nonlinearities can lead to multiple mixed-type attractors.
  • Observed the simultaneous presence of coexistence and exclusion attractors.
  • Showcased complex dynamics arising solely from model nonlinearities.

Conclusions:

  • Nonlinearities in competition models are a significant factor in generating complex population dynamics.
  • Multiple attractors can exist in ecological models without invoking life-cycle stages.
  • This finding broadens the understanding of factors influencing species coexistence and exclusion.