On peaks in carrying simplices
Tom 81 / 1999
Colloquium Mathematicum 81 (1999), 285-292
DOI: 10.4064/cm-81-2-285-292
Streszczenie
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.
