2014/11/14 by Roberto Cavoretto, Cavoretto, Roberto, Alessandra De Rossi +5
Environmental Science · Mathematics · Medicine · #Ecosystem dynamics and resilience #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1411.3938
openalex publication_date 2014/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In dynamical systems saddle points partition the domain into basins of\nattractions of the remaining locally stable equilibria. This situation is\nrather common especially in population dynamics models, like prey-predator or\ncompetition systems. Focusing on squirrels population models with niche, in\nthis paper we design algorithms for the detection and the refinement of points\nlying on the separatrix manifold partitioning the phase space. We consider both\nthe two populations and the three populations cases. To reconstruct the\nseparatrix curve and surface, we apply the Partition of Unity method, which\nmakes use of Wendland's functions as local approximants.\n