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Title: The physical dimensions and biological meaning of the coefficients in the Volterra competition equations and their consequences for the possibility of coexistence
Authors: Walker, Ilse
Keywords: Animals
Biological Model
Population Dynamics
Appetitive Behavior
Models, Biological
Population Dynamics
Predatory Behavior
Issue Date: 1983
metadata.dc.publisher.journal: Acta Biotheoretica
metadata.dc.relation.ispartof: Volume 32, Número 2, Pags. 93-122
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. © 1983 Martinus Nijhoff/Dr W. Junk Publishers.
metadata.dc.identifier.doi: 10.1007/BF02045063
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