| Danijela Branković†, Žarko Mijajlović‡, Marija Mikić§
Abstract: We use the theory of the dynamical systems to study the dynamics of the ΛCDM model of the universe. A three-dimensional autonomous dynamical system of a class of Lotka-Volterra dynamical systems, with density parameters of the universe’s constituents as dependent variables is inferred. It is assumed that the matter content in our universe consists of barotropic perfect fluids without mutual interaction (except gravitational). The appropriate physical interpretation, as well as parametrization between the scale expansion factor of the universe and cosmological density parameters is presented. Keywords: Lotka-Volterra dynamical systems, Friedmann equations, ΛCDM model, dynamical systems, stability, equilibriums, Lyapunov function. MSC: 34A34, 83F05, 37C75, 34C23. DOI 10.56082/annalsarscimath.2026.2.5 †danijela@etf.bg.ac.rs, School of Electrical Engineering, University of Belgrade, Bulevar kralja Aleksandra 73, 11120 Belgrade, Serbia |
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application,
ISSN ONLINE 2066 – 6594
|
