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[39]Competitive exclusion

   RA Armstrong, R McGehee - The American Naturalist, 1980 - journals.uchicago.edu
   RA Armstrong, R McGehee
   The American Naturalist, 1980 o journals.uchicago.edu
   Recent developments in the mathematical theory of competitive exclusion are
   discussed
   and placed in historical perspective. The models which have been used in
   theoretical
   investigations of competitive exclusion are classified into two groups: those in
   which the
   resources regenerate according to an algebraic relationship (abiotic resource
   models), and
   those in which resource regeneration is governed by differential equations
   (biotic resource
   models). We then propose a mathematical framework for considering problems of ...
   Recent developments in the mathematical theory of competitive exclusion are
   discussed and placed in historical perspective. The models which have been used
   in theoretical investigations of competitive exclusion are classified into two
   groups: those in which the resources regenerate according to an algebraic
   relationship (abiotic resource models), and those in which resource regeneration
   is governed by differential equations (biotic resource models). We then propose a
   mathematical framework for considering problems of competitive exclusion, and
   provide examples in which n competitors can coexist on k < n resources (both
   biotic and abiotic). These systems persist because of internally generated cyclic
   behavior. We conclude that the competitive exclusion principle applies in general
   only to coexistence at fixed densities.
   [journals.uchicago.edu.png] The University of Chicago Press
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