Equilibria in some families of Kolmogorov systems. (April 2017)

• Record Type: Journal Article
• Authors: Bravo, José Luis; Fernández, Manuel; Tineo, Antonio
• Is Part Of: Nonlinear analysis. Volume 34(2017)
• Page Start: 250
• Page End: 263
• Publication Date: 2017-04
• Subjects: 34D45 -- 34D05; Kolmogorov system -- Saturated equilibrium -- Lotka–Volterra systems -- Generalized food chains; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.09.004
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: Kolmogorov systems constitute a general model for the dynamics of biological species. In that sense, they are generalizations of the Lotka–Volterra systems. Here, some classical results on existence, uniqueness, and global attraction of local equilibria that hold in Lotka–Volterra systems are generalized to Kolmogorov systems.