On existence and uniqueness of the carrying simplex for competitive dynamical systems

2008/01/14 by Morris W. Hirsch, Hirsch, Morris W.
Mathematics · Medicine · #37C05 #37C55 #37C70 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.0801.2171

openalex publication_date 2008/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Certain dynamical models of competition have a unique invariant hypersurface to whichevery nonzero tractory is asymptotic, having simple geometry and topology.

Citations

• Ann-dimensional competitive Lotka Volterra system is generically determined by the edges of its carrying simplex

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