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In this paper we analyze the global asymptotic behavior of the asymmetric May– Leonard model of three competing species: dx i dt The linear stability analysis shows that the interior equilibrium P = (p 1 , p 2 , p 3) is asymptotically stable if A 1 A 2 A 3 > B 1 B 2 B 3 and P is a saddle point with one-dimensional stable manifold Γ if A 1 A 2 A 3 < B 1 B 2… (More)

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