Analysis of a class of Lotka--Volterra systems
Dynamical Systems
2024-04-05 v1
Abstract
A generalized two-dimensional cubic Lotka-Volterra model with infinitesimal parameters is studied. Three different cases have been considered, one non-degenerate and two degenerate. The local behavior of the model has been studied in the three cases. Six bifurcation diagrams with thirty different regions have been obtained in the non-degenerate case, respectively, sixteen diagrams with forty regions in the two degenerate cases.
Cite
@article{arxiv.2404.03316,
title = {Analysis of a class of Lotka--Volterra systems},
author = {G. Moza and D. Constantinescu and R. Efrem and L. Bucur and R. Constantinescu},
journal= {arXiv preprint arXiv:2404.03316},
year = {2024}
}