Literature DB >> 6415980

The physical dimensions and biological meaning of the coefficients in the Volterra competition equations and their consequences for the possibility of coexistence.

I Walker.   

Abstract

Exact definitions in physical and biological terms of the coefficients in Volterra's (1926, 1931) original competition equations are indispensable for the understanding of the system. In agreement with Volterra's own, but not quite sufficient specifications, it is tried in this paper to give more precise definitions of the parameters used by Volterra. This leads to some consequences; i.a. that there does not exist a "principle of competitive exclusion". In order to allow for competitive exclusion - or for stabilization - the Volterra equations need additional biophysical specifications and mathematical modifications. Some such modifications are proposed, for instance for aggressive interference as a function of population numbers.

Mesh:

Year:  1983        PMID: 6415980     DOI: 10.1007/BF02045063

Source DB:  PubMed          Journal:  Acta Biotheor        ISSN: 0001-5342            Impact factor:   1.774


  2 in total

1.  EXPERIMENTAL ANALYSIS OF VITO VOLTERRA'S MATHEMATICAL THEORY OF THE STRUGGLE FOR EXISTENCE.

Authors:  G F Gause
Journal:  Science       Date:  1934-01-05       Impact factor: 47.728

2.  Experimental invalidation of the principle of competitive exclusion.

Authors:  F J Ayala
Journal:  Nature       Date:  1969-12-13       Impact factor: 49.962

  2 in total
  1 in total

1.  On the population dynamics and ecology of the shrimp species (Crustacea, Decapoda, Natantia) in the Central Amazonian river Tarumã-Mirim.

Authors:  I Walker; M J N Ferreira
Journal:  Oecologia       Date:  1985-05       Impact factor: 3.225

  1 in total

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