ArticleOriginal scientific text

Title

On peaks in carrying simplices

Authors 1

Affiliations

  1. Institute of Mathematics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Abstract

A necessary and sufficient condition is given for the carrying simplex of a dissipative totally competitive system of three ordinary differential equations to have a peak singularity at an axial equilibrium. For systems of Lotka-Volterra type that result translates into a simple condition on the coefficients.

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Pages:
285-292
Main language of publication
English
Received
1999-03-08
Published
1999
Exact and natural sciences