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• W2094886643 abstract "In dynamical systems saddle points partition the domain into basins of attractions of the remaining locally stable equilibria. This situation is rather common especially in population dynamics models, like prey–predator or competition systems. Focusing on squirrels population models with niche, in this paper we design algorithms for the detection and the refinement of points lying on the separatrix manifold partitioning the phase space. We consider both the two populations and the three populations cases. To reconstruct the separatrix curve and surface, we apply the Partition of Unity method, which makes use of Wendland's functions as local approximants." @default.
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• W2094886643 date "2014-03-26" @default.
• W2094886643 modified "2023-09-23" @default.
• W2094886643 title "Reliable approximation of separatrix manifolds in competition models with safety niches" @default.
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• W2094886643 doi "https://doi.org/10.1080/00207160.2013.867955" @default.
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