The physical dimensions and biological meaning of the coefficients in the volterra competition equations and their consequences for the possibility of coexistence
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
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Acta Biotheoretica 32 (2):93-122 (1983)
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.
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Citations of this work BETA
I. Walker (1984). The Volterra Competition Equations with Resource - Independent Growth Coefficients and Discussion on Their Biological and Biophysical Implications. Acta Biotheoretica 33 (4):253-270.
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