On peaks in carrying simplices

Tom 81 / 1999

Janusz Mierczyński Colloquium Mathematicum 81 (1999), 285-292 DOI: 10.4064/cm-81-2-285-292


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.


  • Janusz Mierczyński

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