Analysis of a class of Kolmogorov systems. (February 2021)

• Record Type: Journal Article
• Authors: Tigan, G.; Lazureanu, C.; Munteanu, F.; Sterbeti, C.; Florea, A.
• Is Part Of: Nonlinear analysis. Volume 57(2021)
• Publication Date: 2021-02
• Subjects: Dynamical systems -- Predator–prey systems -- Degenerate bifurcations -- Bifurcation diagrams; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2020.103202
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: A two-dimensional Kolmogorov system depending on two independent parameters and having a degenerate condition is studied in this work. We obtain local analytical properties of the system when the parameters vary in a sufficiently small neighborhood of the origin. The behavior of the system is described by bifurcation diagrams. Applications of Kolmogorov systems can be found particularly in modeling population dynamics in biology and ecology.