Abstract
We give the topological classification of the global phase portraits in the Poincaré disc of the Kolmogorov systems ẋ=xa0+c1x+c2z2+c3z,ż=zc0+c1x+c2z2+c3z,which depend on five parameters and have infinitely many singular points at the infinity. We prove that these systems have 22 topologically distinct phase portraits.
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